Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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. 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
  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 (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
  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 (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
  5. 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
  6. "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
  7. 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
  8. 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
  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. 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
  11. "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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy