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- W1995981896 abstract "We construct a graph complex calculating the integral homology of the bordered mapping class groups. We compute the homology of the bordered mapping class groups of the surfaces S 1,1, S 1,2 and S 2,1. Using the circle action on this graph complex, we build a double complex and a spectral sequence converging to the homology of the unbordered mapping class groups. We compute the homology of the punctured mapping class groups associated to the surfaces S 1,1 and S 2,1. Finally, we use Miller’s operad to get the first Kudo–Araki and Browder operations on our graph complex. We also consider an unstable version of the higher Kudo–Araki–Dyer–Lashoff operations." @default.
- W1995981896 created "2016-06-24" @default.
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- W1995981896 date "2006-08-18" @default.
- W1995981896 modified "2023-10-15" @default.
- W1995981896 title "The unstable integral homology of the mapping class groups of a surface with boundary" @default.
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- W1995981896 doi "https://doi.org/10.1007/s00208-006-0025-7" @default.
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