On the Origin of the BV Operator on Odd Symplectic Supermanifolds

By P. Ševera. 2005

55 citations recorded by the source corpus.

Differential forms on an odd symplectic manifold form a bicomplex: one differential is the wedge product with the symplectic form and the other is de Rham differential. In the corresponding spectral sequence the next differential turns out to be the Batalin–Vilkoviski operator.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a14701d3ad8f398f886b6f8476ffc217ffa3c81c

How researchers see this paper

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In Geometry and Topology

1. Alberto S. Cattaneo
2. N. Reshetikhin
3. P. Mnev
4. C. Vafa
5. A. Okounkov
6. A. Kirillov

In Mathematical Physics

1. N. Reshetikhin
2. P. Mnev
3. Alberto S. Cattaneo
4. D. Gaitsgory
5. A. Kirillov
6. Alexei Borodin
7. A. Okounkov
8. Damien Calaque

Citations in the corpus

• Classical BV Theories on Manifolds with Boundary (2011, background): “The BV data should satisfy the following property: the Poisson bracket of the action functional with itself is zero [8, 9] (see also [49, 52]).”