Morse matching method for conformal cohomologies | Sciact - Система учета научной деятельности ИМ СО РАН

Morse matching method for conformal cohomologies Научная публикация

Журнал

Journal of Geometry and Physics
ISSN: 0393-0440

Вых. Данные

Год: 2025, Том: 217, Номер статьи : 105617, Страниц : 20 DOI: 10.1016/j.geomphys.2025.105617

Ключевые слова

Conformal algebra, Hochschild cohomology, Gröbner–Shirshov basis, Morse matching

Авторы

Alhussein H. ^1,2 , Kolesnikov P.S. ³ , Lopatkin V. ⁴

Организации

1	Siberian State University of Telecommunications and Informatic
2	Novosibirsk State University of Economics and Management
3	Sobolev Institute of Mathematics
4	Faculty of Computer Science, HSE University

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0002

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.

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

Поступила в редакцию:	11 мая 2025 г.
Принята к публикации:	29 июл. 2025 г.
Опубликована в печати:	5 авг. 2025 г.
Опубликована online:	5 авг. 2025 г.

Scopus:

2-s2.0-105012597453

Пока нет цитирований