标题： orbifold 杯积和 Hochschild 上同调的环结构 显示英文标题

标题： Orbifold cup products and ring structures on Hochschild cohomologies

摘要： 本文研究了与orbifolds相关的卷积代数的Hochschild上同调环及其变形量子化。在第一种情况下，环结构由惯性orbifold上的扭转多向量场的楔积给出。经过变形量子化后，环结构在惯性orbifold的上同调上定义了一个乘积。我们研究了这个乘积与Chen--Ruan乘积的一个$S^1$-等变版本之间的关系。特别是，我们为这种等变orbifold上同调给出了de Rham模型。 显示英文摘要

摘要： 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 $S^1$-equivariant version of the Chen--Ruan product. In particular, we give a de Rham model for this equivariant orbifold cohomology.