- Orbifold cup products and ring structures on Hochschild cohomologies
- Communications in Contemporary Mathematics (CCM)
- Volume | Issue number
- 13 | 1
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case, the ring structure is given in terms of a wedge product on twisted polyvectorfields on the inertia orbifold. After deformation quantization, the ring structure defines a product on the cohomology of the inertia orbifold. We study the relation between this product and an S1-equivariant version of the Chen-Ruan product. In particular, we give a de Rham model for this equivariant orbifold cohomology.
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