Reductive cohomology associated with vertex algebras

0580557 - MÚ 2024 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Zuevsky, Alexander
Reductive cohomology associated with vertex algebras.
Journal of Physics: Conference series. Vol. 2667. Bristol: IOP, 2023 - (Burdík, Č.; Hrivňák, J.; Navrátil, O.; Pošta, S.), č. článku 012042. ISSN 1742-6588.
[International Symposium on Quantum Theory and Symmetries (QTS12). Praha (CZ), 24.07.2023-28.07.2023]
Institucionální podpora: RVO:67985840
Klíčová slova: algebraic conditions * Chain condition * cohomology
Obor OECD: Pure mathematics
https://doi.org/10.1088/1742-6596/2667/1/012042

We review the notion of the reduction cohomology of vertex algebras. The algebraic conditions leading to the chain property for complexes of vertex operator algebra n-point functions (with their convergence assumed) with a coboundary operator defined through reduction formulas are studied. Algebraic, geometrical, and cohomological meanings of reduction formulas and chain condition are clarified. The reduction cohomology for vertex operator algebras associated to Jacobi forms is computed. A counterpart of the Bott-Segal theorem for Riemann surfaces in terms of the reductions cohomology is proven.
Trvalý link: https://hdl.handle.net/11104/0349315