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arXiv research

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2 results for “BV-infinity”

Quantization of (-1)-Shifted Derived Poisson Manifoldsmath.SG

Quantization of (-1)-shifted derived Poisson manifolds via BV-infinity operators.

problem Quantizing

(-1)

-shifted derived Poisson manifolds.

method Using BV-infinity operators on the space of Berezinian half-densities, proving quantization via lifting of Maurer-Cartan elements.

result Quantization of

(-1)

-shifted derived Poisson manifolds is equivalent to the vanishing of the second Poisson cohomology group.

Quantization Derived Poisson Manifolds BV-infinity Maurer-Cartan Elements Poisson Cohomology

2022-06-04abs ↗pdf ↗

Homotopy BV algebras in Poisson geometrymath.QA

We define and study the degeneration property for BV-infinity algebras and show that it implies that the underlying L-infinity algebras are homotopy abelian. The proof is based on a generalisation of the well-known identity Δ(e^x)=e^x(Δ(x)+[x,x]/2) which holds in all BV algebras. As an application we show that the high…

2013-04-23abs ↗pdf ↗