Reductive cohomology associated with vertex algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00580557" target="_blank" >RIV/67985840:_____/23:00580557 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1088/1742-6596/2667/1/012042" target="_blank" >http://dx.doi.org/10.1088/1742-6596/2667/1/012042</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1742-6596/2667/1/012042" target="_blank" >10.1088/1742-6596/2667/1/012042</a>

Result language

angličtina

Original language name

Reductive cohomology associated with vertex algebras

Original language description

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.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Journal of Physics: Conference series

ISBN

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ISSN

1742-6588

e-ISSN

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Number of pages

8

Pages from-to

012042

Publisher name

IOP

Place of publication

Bristol

Event location

Praha

Event date

Jul 24, 2023

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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