Tate classes, equivariant geometry and purity
Rahbar Virk
TL;DR
This paper provides a straightforward explanation for why cohomology often vanishes in odd degrees within equivariant geometry, highlighting a fundamental pattern observed across various contexts.
Contribution
It introduces a new conceptual framework that explains the frequent vanishing of odd-degree cohomology in equivariant settings.
Findings
Clarifies the reason for cohomology vanishing in odd degrees
Connects equivariant geometry with purity phenomena
Offers a unifying perspective on cohomological behavior
Abstract
A simple explanation for the ubiquity of "vanishing of cohomology in odd degrees" in equivariant contexts is given.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology