COHOMOLOGY OF TWISTED POLYNOMIAL SUPERFUNCTORS THROUGH THE TWISTING SPECTRAL SEQUENCE
Abstract
Abstract We want to compute generic $\mathrm {Ext}$ -spaces of twisted polynomial functors in relation to the $\mathrm {Ext}$ -spaces of the untwisted ones. We are able to conjecture a direct formula that is suggestively similar to the one known for ungraded functors. Thanks to the study of a spectral sequence, we get to a total computation in low degrees, with remarkable consequences at the level of generic cohomology. Moreover, a partial computation in all degrees proves the inclusion of a big direct summand and the existence of a suggestive universal class.
Fields of Study & Subjects
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Journal of the Australian Mathematical Society
- Publisher
- Cambridge University Press (CUP)
- Volume
- 120
- Issue
- 1
- Pages
- 78–106
- Publication date
- 9 January 2026
- Language
- EN