Morse matching method for conformal cohomologies Full article
| Journal |
Journal of Geometry and Physics
ISSN: 0393-0440 |
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| Output data | Year: 2025, Volume: 217, Article number : 105617, Pages count : 20 DOI: 10.1016/j.geomphys.2025.105617 | ||||||||
| Tags | Conformal algebra, Hochschild cohomology, Gröbner–Shirshov basis, Morse matching | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
We apply discrete algebraic Morse theory to the computation of Hochschild cohomologies of associative conformal algebras. As an example, we evaluate the dimensions of the Hochschild cohomology groups with scalar coefficients of the universal associative conformal envelope U(3) of the Virasoro Lie conformal algebra relative to the associative locality bound N = 3 on the generator. In contrast to the Weyl conformal algebra U(2) which is the universal associative conformal envelope of the Virasoro conformal algebra relative to the locality bound N = 2, not all Hochschild cohomologies of U(3) are trivial.
Cite:
Alhussein H.
, Kolesnikov P.S.
, Lopatkin V.
Morse matching method for conformal cohomologies
Journal of Geometry and Physics. 2025. V.217. 105617 :1-20. DOI: 10.1016/j.geomphys.2025.105617 Scopus
Morse matching method for conformal cohomologies
Journal of Geometry and Physics. 2025. V.217. 105617 :1-20. DOI: 10.1016/j.geomphys.2025.105617 Scopus
Dates:
| Submitted: | May 11, 2025 |
| Accepted: | Jul 29, 2025 |
| Published print: | Aug 5, 2025 |
| Published online: | Aug 5, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105012597453 |
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