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

2012/05/B/ST1/02171

Keywords:

mapping class group Riemann surface Klein surface complex algebrraic curve real algebraic curve symmetry of Riemann surface automorphism of Riemann surface moduli space of Riemann surfaces complex surface Beauville group Beauville surface surfaces isogenous to a product of complex algebraic curves moduli spaces of complex surfaces hyperbolic handelbodies.

Descriptors:

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

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 3 - announced on 2012-03-15

Amount awarded: 280 000 PLN

Project start date (Y-m-d): 2013-03-25

Project end date (Y-m-d): 2016-03-24

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Sprzęt komputerowy (10 881 PLN)
  2. Sprzęt komputerowy (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  • Book publications / chapters in book publications (4)
  1. A finite presentation for the hyperelliptic mapping class group of a nonorientable surface
    Authors:
    M. Stukow
    Academic press:
    Osaka Mathematical Journal (rok: 2015, tom: 52, strony: 495-514), Wydawca: OSAKA JOURNAL OF MATHEMATICS
    Status:
    Published
    DOI:
    brak - link to the publication
  2. Double coverings of non-orientable Riemann surfaces ramified over discrete sets
    Authors:
    G. Gromadzki, E. Bujalance
    Academic press:
    Computational Methods and Function Theory (rok: 2014, tom: 14, strony: 237-246), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40315-014-0068-9 - link to the publication
  3. Low dimensional linear representations of the mapping class group of a nonorientable surface
    Authors:
    B. Szepietowski,
    Academic press:
    Algebraic & Geometric Topology (rok: 2014, tom: 14, strony: 2445–2474), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/agt.2014.14.2445 - link to the publication
  4. The first homology group of the mapping class group of a nonorientable surface with twisted coefficients
    Authors:
    M. Stukow
    Academic press:
    Topology and its Applications (rok: 2014, tom: 178, strony: 417–437), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.015 - link to the publication
  5. A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
    Authors:
    M. Stukow
    Academic press:
    Journal of Pure and Applied Algebra (JPAA) (rok: 2014, tom: nieznany, strony: 2226-2239), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.03.013 - link to the publication
  6. On periodic self-homeomorphisms of closed orientable surfaces determined by their orders
    Authors:
    C. Bagiński, G. Gromadzki, M. Carvacho, R. Hidalgo
    Academic press:
    Collectanea Mathematica (rok: 2016, tom: 67, strony: 415-429), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-015-0151-1 - link to the publication
  7. On real forms of a Belyi action of the alternating groups
    Authors:
    C. Baginski, G. Gromadzki, J.J. Etayo, E. Martinez
    Academic press:
    Albanian Journal of Marthematics 10, Number 1, Pages ISSN: 1930-1235; (2016) (rok: 2016, tom: 10 (1), strony: 45362), Wydawca: Albanian Journal of Marthematics
    Status:
    Published
    DOI:
    brak - link to the publication
  8. Automorphisms of the mapping class group of a nonorientable surface
    Authors:
    B. Szepietowski, F. Atalan
    Academic press:
    Geometria Dedicata (rok: 2017, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10711-016-0216-7 - link to the publication
  9. A finite presentation for the the twist subgroup of the mapping class group of a non-orientable surface
    Authors:
    M. Stukow
    Academic press:
    Bull. Korean Math. Soc. (rok: 2016, tom: 53 (2), strony: 601-614), Wydawca: Korean Mathematical Society
    Status:
    Published
    DOI:
    10.4134/BKMS.2016.53.2.601 - link to the publication
  10. A presentation for the mapping class group of a nonorientable surface
    Authors:
    B. Szepietowski, L. Paris
    Academic press:
    Bulletin de la Société Mathématique de France (rok: 2015, tom: 143 (3), strony: 503-566), Wydawca: Société Mathématique de France
    Status:
    Published
    DOI:
    http://smf4.emath.fr/en/Publications/Bulletin/143/html/smf_bull_143_503-566.php - link to the publication
  11. On asymmetric p-hyperelliptic Riemann surfaces
    Authors:
    E. Kozlowska-Walania, E. Tyszkowska
    Academic press:
    Annales Academiæ Scientiarum Fennicæ Mathematica (rok: 2015, tom: 40, strony: 669-682), Wydawca: The Finnish Academy of Science and Letters
    Status:
    Published
    DOI:
    10.5186/aasfm.2015.4040 - link to the publication
  12. On classification of cyclic orientation-reversing actions of big order on closed surfaces
    Authors:
    G. Gromadzki, B. Szepietowski, X. Zhao
    Academic press:
    Journal of Pure and Applied Algebra (JPAA) (rok: 2016, tom: 220, strony: 465-481), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2015.07.004 - link to the publication
  13. On finite index subgroups of the mapping class group of a nonorientable surface
    Authors:
    B. Szepietowski
    Academic press:
    Glasnik Matematicki (rok: 2014, tom: 49 No 2, strony: 337-350), Wydawca: Croatian Mathematical Society
    Status:
    Published
    DOI:
    10.3336/gm.49.2.08 - link to the publication
  14. On topological type of periodic self-homeomorphisms of closed non-orientable surfaces
    Authors:
    G. Gromadzki, B. Szepietowski
    Academic press:
    RACSAM (rok: 2016, tom: 110, strony: 303-320), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-015-0234-6 - link to the publication
  15. Subgroup generated by two Dehn twists on a nonorientable surface
    Authors:
    M. Stukow
    Academic press:
    Topology Proceedings (rok: 2017, tom: 50, strony: 151-201), Wydawca: Auburn University (Alabama USA)
    Status:
    Published
    DOI:
    brak - link to the publication
  16. On generation of the symmetric or the alternating group by two cycles
    Authors:
    C. Baginski, G. Gromadzki
    Academic press:
    Colloqium Mathematicum (rok: 2017, ), Wydawca: IM PAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  17. Critical points of invariant functions on closed orientable surfaces
    Authors:
    G. Gromadzki, J. Jezierski, W. Marzantowicz
    Academic press:
    Boletín de la Sociedad Matemática Mexicana (rok: 2014, tom: 21, strony: 71-88), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40590-014-0014-x - link to the publication
  18. On dimensions of the real nerve of the moduli space of Riemann surfaces of odd genus
    Authors:
    G. Gromadzki, E. Kozlowska-Walania
    Academic press:
    Rendiconti del Seminario Matematico della Universita di Padova (rok: 2016, tom: 125, strony: 91-109), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/RSMUP/135-5 - link to the publication
  19. On the connectedness of the branch loci of non-orientable unbordered Klein surfaces of low genus
    Authors:
    B. Szepietowski, E. Bujalance, J. J. Etayo, E. Martinez
    Academic press:
    Glasgow Math. J. (rok: 2015, tom: 57, strony: 211-230), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089514000275 - link to the publication
  1. Connectivity and dimension of the p-locus in moduli space
    Authors:
    G. Gromadzki, A. Weaver, A. Wootton
    Book:
    Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces (rok: 2014, tom: 629, strony: 189-202), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    link to the publication
  2. Conjugacy classes of symmetries of compact Kleinian 3-manifolds
    Authors:
    G. Gromadzki, R. Hidalgo
    Book:
    Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces (rok: 2014, tom: 629, strony: 181-187), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    link to the publication
  3. Automorphisms groups of compact non-orientable Riemann surfaces
    Authors:
    G. Gromadzki, E. Bujalance, F.J. Cirre, J.J. Etayo, E. Martinez
    Book:
    Groups St Andrews 2013 (rok: 2014, ), Wydawca: Cambridge University Press
    Status:
    Accepted for publication
  4. Free degree of periodic self-homeomorphisms of compact bordered orientable surfaces
    Authors:
    G. Gromadzki, X. Zhao
    Book:
    Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces (rok: 2014, tom: 629, strony: 203-222), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    link to the publication

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