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INVARIANTS AND METHODS OF APPLIED TOPOLOGY

2015/19/B/ST1/01458

Keywords

Descriptors

  • ST1_6: Topologia
  • ST1_14: Kombinatoryka
  • ST1_8: Analiza

Panel

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

Host institution

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

Voivodeship: wielkopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Wacław Bolesław Marzantowicz

Number of co-investigators in the project: 5

Call

OPUS 10 – announced on 2015-09-15

Amount awarded
659 460 PLN
Project start date
2016-06-15
Project end date
2019-12-14
Project duration
42 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. Laptop. Cost: 10 500 PLN

Information in the final report

Publication in academic press/journals (14)

  1. GEOMETRICALLY DISTINCT SOLUTIONS GIVEN BY SYMMETRIES OF VARIATIONAL PROBLEMS WITH THE O(N)-SYMMETRY

    Authors:
    Wacław Marzantowicz
    Academic press:
    Communications in Contemporary Mathematics (year: 2019, volume: Vol.21 No.08, pages: 1850080, 34pp), Publisher: World Scientific - Sinagapore
    Status:
    Published
    DOI:
    10.1142/S0219199718500803 – link to the publication

  2. Realization of a graph as the Reeb graph of a Morse function on a manifold

    Authors:
    Ł. P. Michalak
    Academic press:
    Topol. Methods Nonlinear Anal. (year: 2018, volume: 52, pages: 749-762), Publisher: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2018.029 – link to the publication

  3. ESTIMATES OF COVERING TYPE AND THE NUMBER OF VERTICES OF MINIMAL TRIANGULATIONS

    Authors:
    Dejan Govc, Wacław Marzantowicz, Petar Pavešić
    Academic press:
    Discrete & Computational Geometry (year: 2020, volume: 63(2020), no. 1, pages: 31-48), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-019-00092-z – link to the publication

  4. Unavoidable complexes, via an elementary equivariant index theory

    Authors:
    Dusko Joijic, Wacław Marzantowicz, Sinisa Vrecica, Rade Zivaljevic
    Academic press:
    Journal of Fixed Point Theory and Applications (year: 2020, volume: 22-31, pages: 12 (published on-line)), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-020-0763-2 – link to the publication

  5. General Bourgin-Yang theorems

    Authors:
    Z. Błaszczyk, W. Marzantowicz, M. Singh
    Academic press:
    Topology and Its Applications (year: 2018, volume: 249, pages: 112-126), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2018.09.010 – link to the publication

  6. Equivariant maps between representation spheres

    Authors:
    Z. Błaszczyk, W. Marzantowicz, M. Singh
    Academic press:
    Bull. Belg. Math. Soc. Simon Stevin (year: 2017, volume: Tom 24 Nr 4, pages: 621-630), Publisher: Belgian Mathematical Society
    Status:
    Published

  7. Topological complexity and efficiency of motion planning algorithms

    Authors:
    Z. Błaszczyk, J. Carrasquel
    Academic press:
    Rev. Mat. Iberoamericana (year: 2018, volume: 4, pages: 1679-1684), Publisher: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/rmi/1039 – link to the publication

  8. Aut(F_5) has property (T)

    Authors:
    Marek Kaluba, Piotr W. Nowak, Narutaka Ozawa
    Academic press:
    Mathematische Annalen (year: 2019, volume: 375, pages: 1169–1191), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-019-01874-9 – link to the publication

  9. Certifying numerical estimates of spectral gaps

    Authors:
    Marek Kaluba, Piotr Nowak
    Academic press:
    Groups Complexity Cryptology (year: 2018, volume: 10, pages: 33–41), Publisher: De Gryuter
    Status:
    Published
    DOI:
    10.1515/gcc-2018-0004/html – link to the publication

  10. Zeroth canonical homomorphism from singular to Milnor–Thurston homology is injective

    Authors:
    Janusz Przewocki
    Academic press:
    Topology and its Applications (year: 2018, volume: 248, pages: 143-148), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2018.08.016 – link to the publication

  11. On equivariant and invariant topological complexity of smooth Z_p-spheres

    Authors:
    Z. Błaszczyk, M. Kaluba
    Academic press:
    Proc. Amer. Math. Soc. (year: 2017, volume: 145, pages: 4075-4086), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13528 – link to the publication

  12. Combinatorial modifications of Reeb graphs and the realization problem

    Authors:
    Ł. P. Michalak
    Academic press:
    Discrete & Computational Geometry (year: 2021, volume: 65, pages: -opublikowane on-line 11.01.2021), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-020-00260-6 – link to the publication

  13. How many simplices are needed to triangulate a Grassmannian?

    Authors:
    Dejan Govc, Wacław Marzantowicz, Petar Pavešić
    Academic press:
    Topological Methods in Nonlinear Analysis (year: 2020, volume: 56, pages: 501-518), Publisher: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.027 – link to the publication

  14. Constructions of exotic actions on product manifolds with an asymmetric factor

    Authors:
    Z. Błaszczyk, M. Kaluba
    Status:
    Accepted for publication

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