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• W3089759875 abstract "Abstract It is a classical result that pure mapping class groups of connected, orientable surfaces of finite type and genus at least 3 are perfect. In stark contrast, we construct nontrivial homomorphisms from infinite-genus mapping class groups to the integers. Moreover, we compute the first integral cohomology group associated to the pure mapping class group of any connected orientable surface of genus at least 2 in terms of the surface’s simplicial homology. In order to do this, we show that pure mapping class groups of infinite-genus surfaces split as a semi-direct product." @default.
• W3089759875 created "2020-10-08" @default.
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• W3089759875 date "2020-09-30" @default.
• W3089759875 modified "2023-10-16" @default.
• W3089759875 title "The First Integral Cohomology of Pure Mapping Class Groups" @default.
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• W3089759875 doi "https://doi.org/10.1093/imrn/rnaa229" @default.
• W3089759875 hasPublicationYear "2020" @default.
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