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Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Geometry of jets and field theories

2012/06/A/ST1/00256

Keywords:

differential geometry jet bundle field theory variational calculus cohomology supergeometry Lie algebroid Courant bracket

Descriptors:

  • ST1_5: Geometry
  • ST1_12: Mathematical methods of physics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Janusz Grabowski 

Number of co-investigators in the project: 9

Call: MAESTRO 3 - announced on 2012-06-15

Amount awarded: 1 958 200 PLN

Project start date (Y-m-d): 2013-03-19

Project end date (Y-m-d): 2018-09-18

Project duration:: 66 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny z monitorem, klawiaturą i myszą bezprzewodową oraz z oprogramowaniem (5 000 PLN)
  2. Komputer stacjonarny z monitorem, klawiaturą i myszą bezprzewodową oraz z oprogramowaniem (10 000 PLN)
  3. Komputer przenośny - laptop z oprogramowaniem i wyposażeniem (36 000 PLN)
  4. Laptop z ekranem dotykowym z oprogramowaniem i wyposażeniem (8 000 PLN)
  5. Urządzenie wielofunkcyjne: drukarka kolorowa laserowa - skaner - faks (4 000 PLN)
  6. Komputer przenośny - laptop z oprogramowaniem i wyposażeniem (18 000 PLN)

Information in the final report

  • Publication in academic press/journals (45)
  • Articles in post-conference publications (7)
  • Book publications / chapters in book publications (1)
  1. A note on actions of some monoids
    Authors:
    Michał Jóźwikowski, Mikołaj Rotkiewicz
    Academic press:
    Differential Geom. Appl. (rok: 2016, tom: 47, strony: 212-245), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2016.04.003 - link to the publication
  2. Duality for graded manifolds
    Authors:
    J. Grabowski, M. Jóźwikowski, M. Rotkiewicz
    Academic press:
    Rep. Math. Phys. (rok: 2017, tom: 80, strony: 115-142), Wydawca: Springer
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Higher-order analogs of algebroids via vector bundle comorphisms
    Authors:
    M. Jóźwikowski, M. Rotkiewicz
    Academic press:
    Symmetry, Integrability and Geometry: Mathods and Applications (rok: 2018, tom: 14, strony: 135, 46 pages), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2018.135 - link to the publication
  4. Linear duals of graded bundles and higher analogues of (Lie) algebroid
    Authors:
    Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski
    Academic press:
    J. Geom. Phys. (rok: 2016, tom: 101, strony: 71-99), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2015.12.004 - link to the publication
  5. On some properties of vectors tangent to a predifferential space 4
    Authors:
    Krzysztof Drachal
    Academic press:
    Mathematica Aeterna (rok: 2014, tom: 4, strony: 573-576), Wydawca: Hilaris Ltd
    Status:
    Published
    DOI:
    brak - link to the publication
  6. On subspaces of invariant vectors
    Authors:
    Tatiana Shulman
    Academic press:
    Studia Math. (rok: 2017, tom: 236, strony: 45302), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm8378-11-2016 - link to the publication
  7. On superactivation of zero-error capacities and reversibility of a quantum channel
    Authors:
    Maxim Shirokov , Tatiana Shulman
    Academic press:
    Comm. Math. Phys. (rok: 2015, tom: 335, strony: 1159-1179), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-015-2345-5 - link to the publication
  8. Remarks on the behaviour of higher-order derivations on the gluing of differential spaces
    Authors:
    Krzysztof Drachal
    Academic press:
    Czechoslovak Math. J (rok: 2015, tom: 65, strony: 1137–1154), Wydawca: Institute of Mathematics, Academy of Sciences of the Czech Republic
    Status:
    Published
    DOI:
    brak - link to the publication
  9. A Lie systems approach to the Riccati hierarchy and partial differential equations
    Authors:
    J. de Lucas, A.M. Grundland
    Academic press:
    J. Differential Equations (rok: 2017, tom: 263, strony: 299-337), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.02.038 - link to the publication
  10. Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings
    Authors:
    Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański
    Academic press:
    J. Geom. Mech. (rok: 2014, tom: 5, strony: 503-526), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2014.6.503 - link to the publication
  11. Graded bundles in the category of Lie groupoids
    Authors:
    Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski
    Academic press:
    Symmetry, Integrability and Geometry: Mathods and Applications (rok: 2015, tom: 11, strony: 090, 25 pages), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.090 - link to the publication
  12. Higher order mechanics on graded bundles
    Authors:
    Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski
    Academic press:
    J. Phys. A (rok: 2015, tom: 48, strony: 205203 (32pp)), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/48/20/205203 - link to the publication
  13. On a geometric framework for Lagrangian supermechanics
    Authors:
    A. J. Bruce, K. Grabowska, G. Moreno
    Academic press:
    J. Geom. Mech. (rok: 2017, tom: 9, strony: 411-437), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2017016 - link to the publication
  14. On b-boundary in differential spaces category
    Authors:
    K. Drachal
    Academic press:
    Int. J. Geom. Methods Mod. Phys (rok: 2017, tom: 14, strony: 1750036 (23 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887817500360 - link to the publication
  15. Solvability of a Lie algebra of vector field implies their integrability by quadratures
    Authors:
    J. F. Cariñena, F. Falceto, J. Grabowski
    Academic press:
    J. Phys. A (rok: 2016, tom: 49, strony: 425202 (13pp)), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/42/425202 - link to the publication
  16. Some algebro-geometric aspects of spacetime c-boundary
    Authors:
    Vandana, Deepmala, K. Drachal, V.N. Mishra,
    Academic press:
    Mathematica Aeterna (rok: 2016, tom: 6, strony: 561-572), Wydawca: Hilaris Ltd
    Status:
    Published
    DOI:
    brak - link to the publication
  17. Stability of group relations under small Hilbert-Schmidt perturbations
    Authors:
    Don Hadwin, Tatiana Shulman
    Academic press:
    J. Functional Analysis (rok: 2018, tom: 275, strony: 761-792), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2018.05.006 - link to the publication
  18. The Tulczyjew triple in mechanics on a Lie group
    Authors:
    K. Grabowska, M. Zając
    Academic press:
    J. Geom. Mech (rok: 2016, tom: 8, strony: 413-435), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2016014 - link to the publication
  19. Tulczyjew triples: from statics to field theory
    Authors:
    Katarzyna Grabowska, Janusz Grabowski
    Academic press:
    J. Geom. Mech. (rok: 2013, tom: 5, strony: 445-472), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2013.5.445 - link to the publication
  20. Why are normal sub-Riemannian extremals locally minimizing?
    Authors:
    M. Jóźwikowski, W. Respondek
    Academic press:
    Diff. Geom. Appl. (rok: 2018, tom: 60, strony: 174-189), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2018.06.005 - link to the publication
  21. Elements of C*-algebras attaining their norm in a finite-dimensional representation
    Authors:
    K. Courtney and T. Shulman
    Academic press:
    Canadian J. Math. (rok: 2019, tom: 71, strony: 93-111), Wydawca: Canadian Mathematical Society
    Status:
    Published
    DOI:
    10.4153/CJM-2017-040-x - link to the publication
  22. Geometry of quantum dynamics in infinite dimensional Hilbert space
    Authors:
    38.J. Grabowski, M. Kuś, G. Marmo, T. Shulman
    Academic press:
    J. Phys. A (rok: 2018, tom: 51, strony: 165301), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aab289 - link to the publication
  23. Jacobi multipliers, non-local symmetries, and nonlinear oscillators
    Authors:
    Jose F. Cariñena, Javier de Lucas, Manuel F. Rañada
    Academic press:
    J. Math. Phys. (rok: 2015, tom: 56, strony: 63505), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.4922509 - link to the publication
  24. Kirillov structures up to homotopy
    Authors:
    Andrew J. Bruce, Alfonso G. Tortorella
    Academic press:
    Diff. Geom. Appl. (rok: 2016, tom: 48, strony: 72–86), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2016.06.005 - link to the publication
  25. Modular classes revisited
    Authors:
    Janusz Grabowski
    Academic press:
    Int. J. Geom. Methods Mod. Phys. (rok: 2014, tom: 11, strony: 140042 (11 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887814600421 - link to the publication
  26. Pre-Courant algebroids
    Authors:
    A. J. Bruce, J. Grabowski
    Academic press:
    J. Geom. Phys. (rok: 2019, tom: 142, strony: 254-273), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2019.04.007 - link to the publication
  27. Remarks on generalized Lie algebroids and related concepts
    Authors:
    K. Grabowska, J. Grabowski
    Academic press:
    J. Math. Phys. (rok: 2017, tom: 58, strony: 23505), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.4975703 - link to the publication
  28. Tulczyjew triples in higher derivative field theory
    Authors:
    Katarzyna Grabowska, Luca Vitagliano
    Academic press:
    Journal Geom. Mech. (rok: 2015, tom: 7, strony: 12055), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2015.7.1 - link to the publication
  29. A cohomological approach to immersed submanifolds via integrable systems
    Authors:
    A.M. Grundland, J. de Lucas
    Academic press:
    Selecta Math. (NS) (rok: 2018, tom: 29, strony: 434), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00029-018-0434-y - link to the publication
  30. Comorphisms of Lie algebroids and groupoids: a short introduction
    Authors:
    Krzysztof Drachal
    Academic press:
    Mathematica Aeterna (rok: 2015, tom: 5, strony: 63-81), Wydawca: Hilaris
    Status:
    Published
    DOI:
    brak - link to the publication
  31. Geometry of Routh reduction
    Authors:
    K. Grabowska, P. Urbański
    Academic press:
    J. Geom. Mech. (rok: 2019, tom: 11, strony: 23-44), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2019002 - link to the publication
  32. Killing sections and sigma models with Lie algebroid targets
    Authors:
    Andrew J. Bruce
    Academic press:
    Rep. Math. Phys. (rok: 2016, tom: 78, strony: 45309), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/S0034-4877(16)30046-5 - link to the publication
  33. Lie-Hamilton systems on curved spaces: a geometrical approach
    Authors:
    Francisco J. Herranz, Javier de Lucas, Mariusz Tobolski
    Academic press:
    J. Phys. A (rok: 2017, tom: 50, strony: 495201), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa918f - link to the publication
  34. Models for higher algebroids
    Authors:
    Michał Jóźwikowski, Mikołaj Rotkiewicz
    Academic press:
    J. Geom. Mech. (rok: 2015, tom: 7, strony: 317-359), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/jgm.2015.7.317 - link to the publication
  35. Polarisation of graded bundles
    Authors:
    Andrew J. Bruce, Janusz Grabowski, Mikołaj Rotkiewicz
    Academic press:
    Symmetry, Integrability and Geometry: Mathods and Applications (rok: 2016, tom: 12, strony: 106 (30 pages)), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2016.106 - link to the publication
  36. Remarks on contact and Jacobi geometry
    Authors:
    Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski
    Academic press:
    SIGMA (rok: 2017, tom: 13, strony: 059 (22 pages)), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2017.059 - link to the publication
  37. Stability under small Hilbert-Schmidt perturbations for C*-algebras (Russian)
    Authors:
    Don Hadwin, Tatiana Shulman
    Academic press:
    Funktsional. Anal. i Prilozhen. (rok: 2018, tom: 52, strony: 92-97), Wydawca: Russian Acad. Sci.
    Status:
    Published
    DOI:
    10.4213/faa3479 - link to the publication
  38. The category of Z_2^n-supermanifolds
    Authors:
    Tiffany Covolo, Janusz Grabowski, Norbert Poncin
    Academic press:
    J.Math. Phys. (rok: 2016, tom: 57, strony: 073503 (16pp)), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.4955416 - link to the publication
  39. Tracial stability for C*-algebras
    Authors:
    D. Hadwin, T. Shulman
    Academic press:
    Integr. Equ. Oper. Theory (rok: 2018, tom: 90, strony: 12785), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-018-2430-1 - link to the publication
  40. Variations of projectivity for C*-algebras
    Authors:
    D. Hadwin and T. Shulman
    Academic press:
    Pacific J. Math. (rok: 2019, tom: 301, strony: 421-440), Wydawca: Mathematical Sciences Publisher
    Status:
    Published
    DOI:
    10.2140/pjm.2019.301.421 - link to the publication
  41. n-tuple principal bundles
    Authors:
    K. Grabowska, J. Grabowski
    Academic press:
    Int. J. Geom. Methods Mod. Phys. (rok: 2018, tom: 15, strony: 1850211 (18 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887818502110 - link to the publication
  42. Continuity of spectral radius and type I C*-algebras
    Authors:
    T. Shulman
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2019, tom: 147, strony: 641-646), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/14169 - link to the publication
  43. On the concept of a filtered bundle
    Authors:
    A. J. Bruce, K. Grabowska, J. Grabowski
    Academic press:
    Int. J. Geom. Methods Mod. Phys. (rok: 2018, tom: 15, strony: 1850013 (34 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887818500135 - link to the publication
  44. Representations up to Homotopy from Weighted Lie Algebroids
    Authors:
    Andrew James Bruce, Janusz Grabowski and Luca Vitagliano
    Academic press:
    Journal of Lie Theory (rok: 2018, tom: 28, strony: 715-737), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    brak - link to the publication
  45. Splitting theorem for Z_2^n-supermanifolds
    Authors:
    Tiffany Covolo, Janusz Grabowski, Norbert Poncin
    Academic press:
    J. Geom. Phys. (rok: 2016, tom: 110, strony: 393-401), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2016.09.006 - link to the publication
  1. Introduction to graded bundles
    Authors:
    A. J. Bruce, K. Grabowska, J. Grabowski
    Conference:
    International Conference on Differential Geometry of Fez (rok: 2016, ), Wydawca: Università del Salento (Note di Matematica 37 suppl. 1)
    Data:
    konferencja 11-15 April 2016
    Status:
    Published
  2. New developments in geometric mechanics
    Authors:
    Andrew J. Bruce, Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański
    Conference:
    Geometry of Jets and Fields (rok: 2016, ), Wydawca: Banach Center Publications 110
    Data:
    konferencja 10-16 May, 2015
    Status:
    Published
  3. An introduction to loopoids
    Authors:
    Janusz Grabowski
    Conference:
    Loops'15 (rok: 2016, ), Wydawca: Comment. Math. Univ. Carolin. 57 (Mathematica Insttitute of Charles University)
    Data:
    konferencja 30.06.-04.07,2015
    Status:
    Published
  4. Geometric features of Vessiot–Guldberg Lie algebras of conformal and Killing vector fields on R^2
    Authors:
    M.M. Lewandowski, J. de Lucas
    Conference:
    50th Seminar Sophus Lie" (rok: 2017, ), Wydawca: Banach Center Publications 113
    Data:
    konferencja 25.09.2016 - 01.10.2016
    Status:
    Published
  5. Revisiting Lie integrability by quadratures from a geometric perspective
    Authors:
    J. F. Cariñena, F. Falceto, J. Grabowski, M. F. Rañada
    Conference:
    Geometry of Jets and Fields (rok: 2016, ), Wydawca: Banach Center Publications 110
    Data:
    konferencja 10-16 May, 2015
    Status:
    Published
  6. Some methods of differential spaces in spacetime geometry
    Authors:
    Krzysztof Drachal
    Conference:
    19th International Summer School on Global Analysis and its Applications (rok: 2014, ), Wydawca: University of Presov
    Data:
    konferencja 24-30.08.2014
    Status:
    Published
  7. Tulczyjew triples in the constrained dynamics of strings
    Authors:
    Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański
    Conference:
    VILASIFEST (rok: 2015, ), Wydawca: Nuovo Cimento C
    Data:
    konferencja 27-29 March, 2015
    Status:
    Published
  1. Classification of classical singularities: a differential spaces approach
    Authors:
    Krzysztof Drachal, Wiesław Sasin
    Book:
    Mathematical Structures of the Universe (rok: 2014, tom: 1, strony: 57-67), Wydawca: Copernicus Center Press
    Status:
    Published

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