Transformations of compact surfaces

2012/05/B/ST1/02171

Keywords

Descriptors

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

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 3 – announced on 2012-03-15

Amount awarded: 280 000 PLN
Project start date: 2013-03-25
Project end date: 2016-03-24
Project duration: 36 months (the same as in the proposal)
Project status: Project settled

Equipment purchased [PL]

Sprzęt komputerowy. Cost: 10 881 PLN
Sprzęt komputerowy. Cost: 4 000 PLN

Information in the final report

Publication in academic press/journals (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. (year: 2015, volume: 57, pages: 211-230), Publisher: Cambridge University Press

Status:
Published

DOI:
10.1017/S0017089514000275 – link to the publication
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 (year: 2014, volume: 178, pages: 417–437), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.topol.2014.10.015 – link to the publication
Subgroup generated by two Dehn twists on a nonorientable surface

Authors:
M. Stukow

Academic press:
Topology Proceedings (year: 2017, volume: 50, pages: 151-201), Publisher: Auburn University (Alabama USA)

Status:
Published
Double coverings of non-orientable Riemann surfaces ramified over discrete sets

Authors:
G. Gromadzki, E. Bujalance

Academic press:
Computational Methods and Function Theory (year: 2014, volume: 14, pages: 237-246), Publisher: Springer

Status:
Published

DOI:
10.1007/s40315-014-0068-9 – link to the publication
Critical points of invariant functions on closed orientable surfaces

Authors:
G. Gromadzki, J. Jezierski, W. Marzantowicz

Academic press:
Boletín de la Sociedad Matemática Mexicana (year: 2014, volume: 21, pages: 71-88), Publisher: Springer

Status:
Published

DOI:
10.1007/s40590-014-0014-x – link to the publication
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 (year: 2016, volume: 125, pages: 91-109), Publisher: European Mathematical Society

Status:
Published

DOI:
10.4171/RSMUP/135-5 – link to the publication
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. (year: 2016, volume: 53 (2), pages: 601-614), Publisher: Korean Mathematical Society

Status:
Published

DOI:
10.4134/BKMS.2016.53.2.601 – link to the publication
On topological type of periodic self-homeomorphisms of closed non-orientable surfaces

Authors:
G. Gromadzki, B. Szepietowski

Academic press:
RACSAM (year: 2016, volume: 110, pages: 303-320), Publisher: Springer

Status:
Published

DOI:
10.1007/s13398-015-0234-6 – link to the publication
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) (year: 2016, volume: 10 (1), pages: 46092), Publisher: Albanian Journal of Marthematics

Status:
Published

DOI:
link to the publication
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 (year: 2016, volume: 67, pages: 415-429), Publisher: Springer

Status:
Published

DOI:
10.1007/s13348-015-0151-1 – link to the publication
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) (year: 2016, volume: 220, pages: 465-481), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jpaa.2015.07.004 – link to the publication
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 (year: 2015, volume: 143 (3), pages: 503-566), Publisher: Société Mathématique de France

Status:
Published
Low dimensional linear representations of the mapping class group of a nonorientable surface

Authors:
B. Szepietowski,

Academic press:
Algebraic & Geometric Topology (year: 2014, volume: 14, pages: 2445–2474), Publisher: Mathematical Sciences Publishers

Status:
Published

DOI:
10.2140/agt.2014.14.2445 – link to the publication
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) (year: 2014, volume: nieznany, pages: 2226-2239), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jpaa.2014.03.013 – link to the publication
On finite index subgroups of the mapping class group of a nonorientable surface

Authors:
B. Szepietowski

Academic press:
Glasnik Matematicki (year: 2014, volume: 49 No 2, pages: 337-350), Publisher: Croatian Mathematical Society

Status:
Published

DOI:
10.3336/gm.49.2.08 – link to the publication
A finite presentation for the hyperelliptic mapping class group of a nonorientable surface

Authors:
M. Stukow

Academic press:
Osaka Mathematical Journal (year: 2015, volume: 52, pages: 495-514), Publisher: OSAKA JOURNAL OF MATHEMATICS

Status:
Published
On asymmetric p-hyperelliptic Riemann surfaces

Authors:
E. Kozlowska-Walania, E. Tyszkowska

Academic press:
Annales Academiæ Scientiarum Fennicæ Mathematica (year: 2015, volume: 40, pages: 669-682), Publisher: The Finnish Academy of Science and Letters

Status:
Published

DOI:
10.5186/aasfm.2015.4040 – link to the publication
Automorphisms of the mapping class group of a nonorientable surface

Authors:
B. Szepietowski, F. Atalan

Status:
Accepted for publication
On generation of the symmetric or the alternating group by two cycles

Authors:
C. Baginski, G. Gromadzki

Status:
Accepted for publication

Book publications / chapters in book publications (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 (year: 2014, volume: 629, pages: 203-222), Publisher: American Mathematical Society

Status:
Published

DOI:
link to the publication
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 (year: 2014, volume: 629, pages: 189-202), Publisher: American Mathematical Society

Status:
Published

DOI:
link to the publication
Conjugacy classes of symmetries of compact Kleinian 3-manifolds

Authors:
G. Gromadzki, R. Hidalgo

Book:
Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces (year: 2014, volume: 629, pages: 181-187), Publisher: American Mathematical Society

Status:
Published

DOI:
link to the publication
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 (year: 2014), Publisher: Cambridge University Press

Status:
Accepted for publication

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