On the BV structure on the cohomology of moduli space
Algebraic Geometry
2020-01-01 v1 Algebraic Topology
Quantum Algebra
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.
Cite
@article{arxiv.1912.13045,
title = {On the BV structure on the cohomology of moduli space},
author = {Sümeyra Sakallı and Alexander A. Voronov},
journal= {arXiv preprint arXiv:1912.13045},
year = {2020}
}
Comments
19 pages, dedicated to Kyoji Saito on the occasion of his 75th birthday