On the bv structure on the cohomology of moduli space

Sümeyra Sakallı; Alexander A. Voronov

doi:10.4310/PAMQ.2020.v16.n3.a13

On the bv structure on the cohomology of moduli space

Sümeyra Sakallı, Alexander A. Voronov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The question of vanishing of the BV operator on the cohomology of the moduli space of Riemann surfaces is investigated. The BV structure, which comprises a BV operator and an antibracket, is identified, vanishing theorems are proven, and a counterexample is provided.

Original language	English (US)
Pages (from-to)	755-773
Number of pages	19
Journal	Pure and Applied Mathematics Quarterly
Volume	16
Issue number	3
DOIs	https://doi.org/10.4310/PAMQ.2020.v16.n3.a13
State	Published - 2020

Bibliographical note

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© 2020, Homology, Homotopy and Applications. All rights reserved.

Keywords

BV-algebra
Deligne-Mumford compactification
Maurer-Cartan equation
Mixed Hodge structure
Moduli space of Riemann surfaces
Quantum master equation
Spectral sequence
Stable cohomology
Tautological class

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KW - Mixed Hodge structure

KW - Moduli space of Riemann surfaces

KW - Quantum master equation

KW - Spectral sequence

KW - Stable cohomology

KW - Tautological class

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On the bv structure on the cohomology of moduli space

Abstract

Bibliographical note

Keywords

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