Comparison of Cohomological and K-theoretical Hall algebra

We give a more conceptual construction of a comparison algebra morphism from the K-theoretical Hall algebra to a twist of the cohomological Hall algebra associated to a symmetric quiver, and extend the result to quivers with potential.

Publication Details

Journal
ArXiv.org
Published
2025-07-11
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

Comparison of Cohomological and K-theoretical Hall algebra

ArXiv.org
Algebraic structures and combinatorial models
article

Comparison of Cohomological and K-theoretical Hall algebra

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Abstract

We give a more conceptual construction of a comparison algebra morphism from the K-theoretical Hall algebra to a twist of the cohomological Hall algebra associated to a symmetric quiver, and extend the result to quivers with potential.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 43%
Algebraic structures and combinatorial models
Open Access PDFOpenAlex
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Comparison of Cohomological and K-theoretical Hall algebra · ArXiv.org (2025) | TGRS Research Map | TGRS