Singular extensions and triangulated categories
Teimuraz Pirashvili
TL;DR
This paper introduces a novel perspective on triangulated categories by utilizing the second Hochschild cohomology to deepen understanding of their structure.
Contribution
It presents a new approach to studying triangulated categories through the lens of Hochschild cohomology, offering fresh insights into their properties.
Findings
New framework connecting Hochschild cohomology with triangulated categories
Potential applications in deformation theory of categories
Enhanced understanding of categorical extensions
Abstract
We propose a new look on triangulated categories, which is based on the second Hochschild cohomology.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology