On the BV structure on the cohomology of moduli space
S\"umeyra Sakall{\i}, Alexander A. Voronov
TL;DR
This paper investigates the BV algebra structure on the cohomology of moduli spaces of Riemann surfaces, proving vanishing theorems, identifying the structure, and providing a counterexample.
Contribution
It characterizes the BV structure on moduli space cohomology, proves vanishing results, and presents a counterexample to previous assumptions.
Findings
BV operator vanishes in certain cases
BV structure is explicitly identified
Counterexample shows limitations of vanishing theorems
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic and Geometric Analysis · Geometric and Algebraic Topology