Mapping Class Groups of Low Genus and Their Cohomology: Part 1

· American Mathematical Society: Memoirs of the American Mathematical Society 第 443 冊 · American Mathematical Soc.
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This series of papers is aimed towards the calculation of the cohomology of the mapping class group of a closed oriented surface of genus two. This is all 2, 3, and 5-torsion. The mod 5 cohomology is given in the first paper, the mod 3 cohomology in the second, and the mod 2 cohomology in the third. Along the way, we investigate many interesting properties of mapping class groups.

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