Cohomology of SL2,C character varieties of surface groups and the action of the Torelli group - Mathematics > Geometric TopologyReportar como inadecuado




Cohomology of SL2,C character varieties of surface groups and the action of the Torelli group - Mathematics > Geometric Topology - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We determine the action of the Torelli group on the equivariant cohomology ofthe space of flat SL2,C connections on a closed Riemann surface. We show thatthe trivial part of the action contains the equivariant cohomology of the evencomponent of the space of flat PSL2,C connections. The non-trivial partconsists of the even alternating products of degree two Prym representations,so that the kernel of the action is precisely the Prym-Torelli group. Wecompute the Betti numbers of the ordinary cohomology of the moduli space offlat SL2,C connections. Using results of Cappell-Lee-Miller we show that thePrym-Torelli group, which acts trivially on equivariant cohomology, actsnon-trivially on ordinary cohomology.



Autor: Georgios D. Daskalopoulos, Richard A. Wentworth, Graeme Wilkin

Fuente: https://arxiv.org/







Documentos relacionados