BV operators of the Gerstenhaber algebras of holomorphic polyvector fields on toric varieties

Abstract: The vector space of holomorphic polyvector fields on any complex manifold has a natural Gerstenhaber algebra structure. In this paper, we study BV operators of the Gersten- haber algebras of holomorphic polyvector fields on smooth compact toric varieties. We give a necessary and sufficient condition for the existence of BV operators of the Gerstenhaber algebra of holomorphic polyvector fields on any smooth compact toric variety.

mathematical physicsalgebraic geometrycomplex variablesdifferential geometrygeometric topologyquantum algebrasymplectic geometry

Audience: researchers in the topic

Emmy Noether Kolloquium Mainz