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Transformations of compact surfaces

2015/17/B/ST1/03235

Keywords

Descriptors

  • ST1_2: Algebra
  • ST1_6: Topologia
  • ST1_4: Geometria algebraiczna i zespolona

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

Voivodeship: 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
2016-03-07
Project end date
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.). Cost: 3 500 PLN
  2. Sprzęt komputerowy (komputery, drukarki, etc.). Cost: 2 500 PLN
  3. Sprzęt komputerowy (komputery, drukarki, etc.). Cost: 3 000 PLN

Information in the final report

Publication in academic press/journals (17)

  1. 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 (year: 2018, volume: 18, pages: 421-436), Publisher: Independent University of Moscow
    Status:
    Published

  2. 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 (year: 2019, volume: 9 (4), pages: 2021–2031), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s13324-019-00298-7 – link to the publication

  3. On the singular nerve of the moduli space of compact Riemann surfaces

    Authors:
    Grzegorz Gromadzki
    Academic press:
    Fund. Math. (year: 2019, volume: 245 No 2, pages: 127–148), Publisher: IM PAN
    Status:
    Published
    DOI:
    10.4064/fm469-7-2018 – link to the publication

  4. 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) (year: 2018, volume: 112 no. 3, pages: 849–865), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-018-0505-0 – link to the publication

  5. Generating the mapping class group of a nonorientable surface by crosscap transpositions

    Authors:
    Błażej Szepietowski, MartaLeśniak
    Academic press:
    Topology and its Applications (year: 2017, volume: 229, pages: 20-26), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.07.006 – link to the publication

  6. On topological classification of finite cyclic actions on bordered surfaces

    Authors:
    Grzegorz Gromadzki, Susumu Hirose, Błażej Szepietowski
    Academic press:
    Nagoya Mathematical Journal (year: 2018, volume: 230, pages: 102-143), Publisher: Project Eucklid
    Status:
    Published
    DOI:
    10.1017/nmj.2017.5 – link to the publication

  7. Subgroups generated by two dehn twists on a nonorientable surface

    Authors:
    Michał Stukow
    Academic press:
    Topology Proceedings (year: 2017, volume: 50, pages: 151-201), Publisher: Auburn University
    Status:
    Published

  8. Roots on Dehn twists on nonorientable surfaces

    Authors:
    Michał Stukow, Anna Parlak
    Academic press:
    Journal of Knot Theory and Its Ramifications (year: 2019, volume: 28 (12), pages: 1950077), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218216519500779 – link to the publication

  9. Roots of crosscap slides and crosscap transpositions

    Authors:
    Michał Stukow, Anna Parlak
    Academic press:
    Periodica Mathematica Hungarica (year: 2017, volume: 75, pages: 413-419), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10998-017-0210-3 – link to the publication

  10. Extremal configurations of three or four symmetries on a Riemann surface

    Authors:
    Ewa Kozłowslka-Walania
    Academic press:
    Bull. Korean Math. Soc. (year: 2019, volume: 56, No. 1, pages: 73-82), Publisher: Korean Mathematical Society
    Status:
    Published
    DOI:
    10.4134/BKMS.b180095 – link to the publication

  11. 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. (year: 2016, volume: 39 no. 3, pages: 510–520), Publisher: Tokyo Institute of Technology
    Status:
    Published
    DOI:
    10.2996/kmj/1478073768 – link to the publication

  12. 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 (year: 2016, volume: 354 numer 10, pages: 1029-1031), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.crma.2016.07.015 – link to the publication

  13. On purely non-free finite actions of abelian groups on compact surfaces

    Authors:
    Grzegorz Gromadzki, Czesław Bagiński, Ruben Hidalgo
    Academic press:
    Arch. Math. (Basel) (year: 2017, volume: 109 no. 4, pages: 311–321), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-017-1068-6 – link to the publication

  14. Subgroups of the Torelli group generated by two symmetric bounding pair maps

    Authors:
    Michał Stukow
    Academic press:
    Kodai Math. J. (year: 2016, volume: 39 Number 3, pages: 530-534), Publisher: Tokyo Institute of Technology
    Status:
    Published
    DOI:
    10.2996/kmj/1478073770 – link to the publication

  15. On Macbeath's formula for hyperbolic manifolds

    Authors:
    Grzegorz Gromadzki, Ruben Hidalgo
    Academic press:
    Albanian J. Math. (year: 2018, volume: 12, pages: 15–23), Publisher: Albanian Journal of Mathematics
    Status:
    Published
    DOI:
    link to the publication

  16. Symmetric Riemann surfaces with no points fixed by orientation preserving automorphisms

    Authors:
    Ewa Kozłowska-Walania
    Status:
    Accepted for publication

  17. Real equations for Riemann surfaces admitting an extremal configuration of three symmetries

    Authors:
    Ewa Kozłowska-Walania
    Status:
    Accepted for publication

Book publications / chapters in book publications (1)

  1. On real and singular nerves of moduli space of compact Riemann surfaces

    Authors:
    Grzegorz Gromadzki
    Book:
    Teichmüller theory and its impact (pages: 45 printing pages), Publisher: World Scientific
    Status:
    Accepted for publication

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