Generalizations of Nekrasov-Okounkov Identity

Abstract

Nekrasov-Okounkov identity gives a product representation of the sum over partitions of a certain function of partition hook length. In this paper we give several generalizations of the Nekrasov-Okounkov identity using the cyclic symmetry of the topological vertex.

8 pages

References in corpus (1)

• Refined Topological Vertex, Cylindric Partitions and the U(1) Adjoint Theory