paper

On the BV structure on the cohomology of moduli space

arXiv:1912.13045

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.

19 pages, dedicated to Kyoji Saito on the occasion of his 75th birthday