Finite group actions on 2- dimensional CW-complexes

Dorabiala, Wojciech

  • Proceedings of the Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [59]-68

Abstract

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Let X be a cell complex obtained by attaching a 2-cell to a finite bouquet of circles (for example, a closed surface). In terms of the combinatorial type of the attaching map, the paper gives conditions for the existence of a fixed point free (topological) homeomorphism of the complex X . Also, quotients of finite group actions on such complexes are considered as well as a condition under which the induced actions on cohomology are trivial.

How to cite

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Dorabiala, Wojciech. "Finite group actions on 2- dimensional CW-complexes." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1994. [59]-68. <http://eudml.org/doc/221556>.

@inProceedings{Dorabiala1994,
abstract = {Let $X$ be a cell complex obtained by attaching a 2-cell to a finite bouquet of circles (for example, a closed surface). In terms of the combinatorial type of the attaching map, the paper gives conditions for the existence of a fixed point free (topological) homeomorphism of the complex $X$. Also, quotients of finite group actions on such complexes are considered as well as a condition under which the induced actions on cohomology are trivial.},
author = {Dorabiala, Wojciech},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics},
location = {Palermo},
pages = {[59]-68},
publisher = {Circolo Matematico di Palermo},
title = {Finite group actions on 2- dimensional CW-complexes},
url = {http://eudml.org/doc/221556},
year = {1994},
}

TY - CLSWK
AU - Dorabiala, Wojciech
TI - Finite group actions on 2- dimensional CW-complexes
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1994
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [59]
EP - 68
AB - Let $X$ be a cell complex obtained by attaching a 2-cell to a finite bouquet of circles (for example, a closed surface). In terms of the combinatorial type of the attaching map, the paper gives conditions for the existence of a fixed point free (topological) homeomorphism of the complex $X$. Also, quotients of finite group actions on such complexes are considered as well as a condition under which the induced actions on cohomology are trivial.
KW - Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics
UR - http://eudml.org/doc/221556
ER -

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