Products of real equivariant weight filtrations
Algebraic Geometry
2017-08-18 v1
Abstract
We first show the existence of a weight filtration on the equivariant cohomology of real algebraic varieties equipped with the action of a finite group, by applying group cohomology to the dual geometric filtration. We then prove the compatibility of the equivariant weight filtrations and spectral sequences with K{\"u}nneth isomorphism, cup and cap products, from the filtered chain level. We finally induce the usual formulae for the equivariant cup and cap products from their analogs on the non-equivariant weight spectral sequences.
Keywords
Cite
@article{arxiv.1708.05175,
title = {Products of real equivariant weight filtrations},
author = {Fabien Priziac},
journal= {arXiv preprint arXiv:1708.05175},
year = {2017}
}