Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Transformations of compact surfaces

2015/17/B/ST1/03235

Keywords:

Mapping class groups of compact surfaces and handlebodies Riemann and Klein surfaces their automorphisms and symmetries complex and real algebrraic curves moduli space of compact Riemann surfaces and their distinguished subsets (singular real and hyperelliptic loci) complex surfaces isogenous to the product of complex algebraic curves their real structures automorphisms and symmetries Beauville surfaces surfaces finite group actions on handlebodies automorphisms of Lefschetz fibrations

Descriptors:

  • ST1_2: Algebra
  • ST1_6: Topology
  • ST1_4: Algebraic and complex geometry

Panel:

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

Host institution :

Uniwersytet Gdański, Wydział Matematyki, Fizyki i Informatyki

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Grzegorz Gromadzki 

Number of co-investigators in the project: 5

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 363 000 PLN

Project start date (Y-m-d): 2016-03-07

Project end date (Y-m-d): 2020-03-06

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Sprzęt komputerowy (komputery, drukarki, etc.) (3 000 PLN)
  2. Sprzęt komputerowy (komputery, drukarki, etc.) (2 500 PLN)
  3. Sprzęt komputerowy (komputery, drukarki, etc.) (3 500 PLN)

Information in the final report

  • Publication in academic press/journals (22)
  • Book publications / chapters in book publications (1)
  1. Extremal configurations of three or four symmetries on a Riemann surface
    Authors:
    Ewa Kozłowslka-Walania
    Academic press:
    Bull. Korean Math. Soc. (rok: 2019, tom: 56, No. 1, strony: 73-82), Wydawca: Korean Mathematical Society
    Status:
    Published
    DOI:
    10.4134/BKMS.b180095 - link to the publication
  2. Roots on Dehn twists on nonorientable surfaces
    Authors:
    Michał Stukow, Anna Parlak
    Academic press:
    Journal of Knot Theory and Its Ramifications (rok: 2019, tom: 28 (12), strony: 1950077), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218216519500779 - link to the publication
  3. On Macbeath's formula for hyperbolic manifolds
    Authors:
    Grzegorz Gromadzki, Ruben Hidalgo
    Academic press:
    Albanian J. Math. (rok: 2018, tom: 12, strony: 15–23), Wydawca: Albanian Journal of Mathematics
    Status:
    Published
    DOI:
    brak - link to the publication
  4. On the singular nerve of the moduli space of compact Riemann surfaces
    Authors:
    Grzegorz Gromadzki
    Academic press:
    Fund. Math. (rok: 2019, tom: 245 No 2, strony: 127–148), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/fm469-7-2018 - link to the publication
  5. Subgroups of the Torelli group generated by two symmetric bounding pair maps
    Authors:
    Michał Stukow
    Academic press:
    Kodai Math. J. (rok: 2016, tom: 39 Number 3, strony: 530-534), Wydawca: Tokyo Institute of Technology
    Status:
    Published
    DOI:
    10.2996/kmj/1478073770 - link to the publication
  6. The hyperelliptic mapping class group of a nonorientable surface of genus g >= 4 has a faithful representation into GL(g^2-1,R)
    Authors:
    Michał Stukow
    Academic press:
    Comptes Rendus Mathematique (rok: 2016, tom: 354 numer 10, strony: 1029-1031), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.crma.2016.07.015 - link to the publication
  7. Symmetric Riemann surfaces with no points fixed by orientation preserving automorphisms
    Authors:
    Ewa Kozłowska-Walania
    Academic press:
    Mathematica Scadinavica , Wydawca: Mathematica Scandinavica
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. Fixed points on asymmetric Riemann surfaces
    Authors:
    Ewa Kozłowska-Walania, Ewa Tyszkowska
    Academic press:
    Mediterranean Journal of Mathematics , Wydawca: Springer Verlag
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. On purely non-free finite actions of abelian groups on compact surfaces
    Authors:
    Grzegorz Gromadzki, Czesław Bagiński, Ruben Hidalgo
    Academic press:
    Arch. Math. (Basel) (rok: 2017, tom: 109 no. 4, strony: 311–321), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-017-1068-6 - link to the publication
  10. Roots of crosscap slides and crosscap transpositions
    Authors:
    Michał Stukow, Anna Parlak
    Academic press:
    Periodica Mathematica Hungarica (rok: 2017, tom: 75, strony: 413-419), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10998-017-0210-3 - link to the publication
  11. On automorphisms of graphs and Riemann surfaces acting with fixed points
    Authors:
    G. Gromadzki, A.D. Mednykh, I.A. Mednykh
    Academic press:
    Analysis and Mathematical Physics (rok: 2019, tom: 9 (4), strony: 2021–2031), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13324-019-00298-7 - link to the publication
  12. A note on the curve complex of the 3-holed projective plane
    Authors:
    Błażej Szepietowski
    Academic press:
    Mathematical Communications , Wydawca: The Department of Mathematics, J.J. Strossmayer University of Osijek in cooperation with the Osijek Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Subgroups generated by two dehn twists on a nonorientable surface
    Authors:
    Michał Stukow
    Academic press:
    Topology Proceedings (rok: 2017, tom: 50, strony: 151-201), Wydawca: Auburn University
    Status:
    Published
    DOI:
    brak - link to the publication
  14. Generating the mapping class group of a nonorientable surface by crosscap transpositions
    Authors:
    Błażej Szepietowski, MartaLeśniak
    Academic press:
    Topology and its Applications (rok: 2017, tom: 229, strony: 20-26), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.07.006 - link to the publication
  15. Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces
    Authors:
    Grzegorz Gromadzki, Aaron Wootton
    Academic press:
    RACSAM (Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas) (rok: 2018, tom: 112 no. 3, strony: 849–865), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-018-0505-0 - link to the publication
  16. On a certain family of asymmetric Riemann surfaces with the cyclic automorphism group. Kodai Math. J. 39 (2016), no. 3, 510–520.
    Authors:
    Ewa Kozłowska-Walania, Ewa Tyszkowska
    Academic press:
    Kodai Math. J. (rok: 2016, tom: 39 no. 3, strony: 510–520), Wydawca: Tokyo Institute of Technology
    Status:
    Published
    DOI:
    10.2996/kmj/1478073768 - link to the publication
  17. On topological classification of finite cyclic actions on bordered surfaces
    Authors:
    Grzegorz Gromadzki, Susumu Hirose, Błażej Szepietowski
    Academic press:
    Nagoya Mathematical Journal (rok: 2018, tom: 230, strony: 102-143), Wydawca: Project Eucklid
    Status:
    Published
    DOI:
    10.1017/nmj.2017.5 - link to the publication
  18. On the orders o largest groups of automorphisms of compact Riemann surfaces
    Authors:
    Czesław Bagiński, Grzegorz Gromadzki
    Academic press:
    Journal Pure Applied Algebra , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  19. The groups generated by maximal sets of symmetries of Riemann surfaces and extremal quantities of their ovals
    Authors:
    Grzegorz Gromadzki, Ewa Kozłowska-Walania
    Academic press:
    Moscow Mathematical Journal (rok: 2018, tom: 18, strony: 421-436), Wydawca: Independent University of Moscow
    Status:
    Published
    DOI:
    brak - link to the publication
  20. Real equations for Riemann surfaces admitting an extremal configuration of three symmetries
    Authors:
    Ewa Kozłowska-Walania
    Academic press:
    Houston Journal of Mathematics , Wydawca: University of Houston
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  21. On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotics properties
    Authors:
    Czesław Bagiński, Grzegorz Gromadzki, Ruben A. Hidalgo
    Academic press:
    Annali della Scuola normale superiore di Pisa (), Wydawca: Scuola Normale Superiore di Pisa
    Status:
    Submitted
    DOI:
    brak - link to the publication
  22. Torsion normal generators of the mapping class group of a non-orientable surface
    Authors:
    Marta Lesniak
    Academic press:
    Journal Pure Applied Algebra (), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. On real and singular nerves of moduli space of compact Riemann surfaces
    Authors:
    Grzegorz Gromadzki
    Book:
    Teichmüller theory and its impact (), Wydawca: World Scientific
    Status:
    Accepted for publication

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