Cohomology of twisted polynomial superfunctors through the twisting spectral sequence

2022/12/15 by Giordano, Iacopo
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2212.07970

Abstract

We want to compute generic Ext-spaces of twisted polynomial functors in relation to the Ext-spaces of the untwisted ones, modulo a parametrisation. Thanks to the study of a spectral sequence we get to a computation in low degrees, with remarkable consequences at the level of generic cohomology.

Related

• Cohomology of algebraic groups with coefficients in twisted representations
• Twisted cohomology
• A construction of the universal classes for algebraic groups with the twisting spectral sequence
• Twists of K-theory and TMF
• Twisted K-theory and cohomology