Multiplicative structure on the Hochschild cohomology of crossed product algebras

  title={Multiplicative structure on the Hochschild cohomology of crossed product algebras},
  author={Rina Anno},
  • Rina Anno
  • Published 2008
Consider a smooth affine algebraic variety X over an algebraically closed field k, and let a finite group G act on X. We assume that chark is greater than dim X and |G|. An explicit formula for multiplication on the Hochschild cohomology of a crossed product HH(k[G] ⋉ k[X]) is given in terms of multivector fields on X and g-invariant subvarieties of X for g ∈ G. 

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Hochschild cohomology of quantized symplectic orbifolds and the ChenRuan cohomology

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