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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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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.