The second homology groups of mapping class groups of orientable surfaces

Date

2003-05-01

Author

Korkmaz, Mustafa

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Let $\Sigma_{g,r}^n$ be a connected orientable surface of genus $g$ with $r$ boundary components and $n$ punctures and let $\Gamma_{g,r}^n$ denote the mapping class group of $\Sigma_{g,r}^n$, namely the group of isotopy classes of orientation-preserving diffeomorphisms of $\Sigma_{g,r}^n$ which are the identity on the boundary and on the punctures. Here, we see the punctures on the surface as distinguished points. The isotopies are required to be the identity on the boundary and on the punctures. If $r$ and/or $n$ is zero, then we omit it from the notation.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/41376

Journal

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

DOI

https://doi.org/10.1017/s0305004102006461

Collections

Department of Mathematics, Article

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Citation Formats

M. Korkmaz, “The second homology groups of mapping class groups of orientable surfaces,” MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, pp. 479–489, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41376.