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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INVARIANTS AND METHODS OF APPLIED TOPOLOGY

2015/19/B/ST1/01458

Keywords:

Equivariant maps Borsuk-Ulam theorem topological complexity functional spaces homomorphisms of residually nilpotent groups

Descriptors:

  • ST1_6: Topology
  • ST1_14: Discrete mathematics and combinatorics
  • ST1_8: Analysis

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

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wacław 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 (Y-m-d): 2016-06-15

Project end date (Y-m-d): 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 (10 500 PLN)

Information in the final report

  • Publication in academic press/journals (16)
  1. "Equivariant maps between representation spheres"
    Authors:
    Z. Błaszczyk, W. Marzantowicz, M. Singh
    Academic press:
    Bull. Belg. Math. Soc. Simon Stevin (rok: 2017, tom: Tom 24 Nr 4, strony: 621-630), Wydawca: Belgian Mathematical Society
    Status:
    Published
    DOI:
    brak; - link to the publication
  2. "Topological complexity and efficiency of motion planning algorithms"
    Authors:
    Z. Błaszczyk, J. Carrasquel
    Academic press:
    Rev. Mat. Iberoamericana (rok: 2018, tom: 4, strony: 1679-1684), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/rmi/1039 - link to the publication
  3. Zeroth canonical homomorphism from singular to Milnor–Thurston homology is injective
    Authors:
    Janusz Przewocki
    Academic press:
    Topology and its Applications (rok: 2018, tom: 248, strony: 143-148), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2018.08.016 - link to the publication
  4. Constructions of exotic actions on product manifolds with an asymmetric factor
    Authors:
    Z. Błaszczyk, M. Kaluba
    Academic press:
    Kyoto Journal of Mathematics (rok: 2020, tom: -, strony: -), Wydawca: Duke University Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. On the sectional category of subgroup inclusions and Adamson cohomology theory
    Authors:
    Zbigniew Błaszczyk, Arturo Espinosa, Jose Carrasquel
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2020, tom: -, strony: -), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    - - link to the publication
  6. Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups
    Authors:
    Wacław Marzantowicz, Łukasz Michalak
    Academic press:
    ANNALES DE L'INSTITUT FOURIER (rok: 2020, ), Wydawca: Association des Annales de l'Institut Fourier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. "On equivariant and invariant topological complexity of smooth Z_p-spheres"
    Authors:
    Z. Błaszczyk, M. Kaluba
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2017, tom: 145, strony: 4075-4086), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13528 - link to the publication
  8. ESTIMATES OF COVERING TYPE AND THE NUMBER OF VERTICES OF MINIMAL TRIANGULATIONS
    Authors:
    Dejan Govc, Wacław Marzantowicz, Petar Pavešić
    Academic press:
    Discrete & Computational Geometry (rok: 2020, tom: 63(2020), no. 1, strony: 31-48), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-019-00092-z - link to the publication
  9. General Bourgin-Yang theorems
    Authors:
    Z. Błaszczyk, W. Marzantowicz, M. Singh
    Academic press:
    Topology and Its Applications (rok: 2018, tom: 249, strony: 112-126), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2018.09.010 - link to the publication
  10. 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. (rok: 2018, tom: 52, strony: 749-762), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2018.029 - link to the publication
  11. Aut(F_5) has property (T)
    Authors:
    Marek Kaluba, Piotr W. Nowak, Narutaka Ozawa
    Academic press:
    Mathematische Annalen (rok: 2019, tom: 375, strony: 1169–1191), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-019-01874-9 - link to the publication
  12. 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 (rok: 2020, tom: 22-31, strony: 12 (published on-line)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-020-0763-2 - link to the publication
  13. Certifying numerical estimates of spectral gaps
    Authors:
    Marek Kaluba, Piotr Nowak
    Academic press:
    Groups Complexity Cryptology (rok: 2018, tom: 10, strony: 33–41), Wydawca: De Gryuter
    Status:
    Published
    DOI:
    10.1515/gcc-2018-0004/html - link to the publication
  14. Combinatorial modifications of Reeb graphs and the realization problem
    Authors:
    Ł. P. Michalak
    Academic press:
    Discrete & Computational Geometry (rok: 2021, tom: 65, strony: -opublikowane on-line 11.01.2021), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-020-00260-6 - link to the publication
  15. GEOMETRICALLY DISTINCT SOLUTIONS GIVEN BY SYMMETRIES OF VARIATIONAL PROBLEMS WITH THE O(N)-SYMMETRY
    Authors:
    Wacław Marzantowicz
    Academic press:
    Communications in Contemporary Mathematics (rok: 2019, tom: Vol.21 No.08, strony: 1850080, 34pp), Wydawca: "World Scientific" - Sinagapore
    Status:
    Published
    DOI:
    10.1142/S0219199718500803 - link to the publication
  16. How many simplices are needed to triangulate a Grassmannian?
    Authors:
    Dejan Govc, Wacław Marzantowicz, Petar Pavešić
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2020, tom: 56, strony: 501-518), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.027 - link to the publication

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