On the vanishing of cohomology in triangulated categories
Petter Andreas Bergh
TL;DR
This paper investigates conditions under which cohomology vanishes in triangulated categories with a central ring action, focusing on vanishing gaps and symmetry properties.
Contribution
It provides new insights into the patterns of cohomology vanishing, especially regarding gaps and symmetry in triangulated categories with central ring actions.
Findings
Identification of conditions for cohomology vanishing
Analysis of vanishing gaps and symmetry properties
Enhanced understanding of cohomology behavior in triangulated categories
Abstract
We study the vanishing of cohomology in triangulated categories admitting a central ring action. In particular, we study vanishing gaps and symmetry.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology