Stable cohomology of the universal Picard varieties and the extended mapping class group

Details Stable cohomology of the universal Picard varieties and the extended mapping class group Stable cohomology of the universal Picard varieties and the extended mapping class group

2010-12-04

arxiv.org/abs/1012.0901v1

Mathematics

Algebraic Topology

Scientific paper

We compute the stable cohomology of the universal Picard stack Pic_g -> M_g,
and also its Picard group. The degree zero Picard stack Pic_g^0 has homotopy
type the classifying space of Kawazumi's extended mapping class group, and we
explain the relation between our calculations and Kawazumi's generalised
Morita-Mumford classes.

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