The level structure in quantum K-theory and mock theta functions

2018/04/18 by Ruan, Yongbin, Zhang, Ming
#14D20 #14H60 #14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.06552

Abstract

This is the first in a sequence of papers to develop the theory of levels in quantum K-theory and study its applications. Our main results in this paper are toric mirror theorems for permutation-equivariant quantum K-theory with level structure. In some of the simplest examples, we see the surprising appearance of Ramanujan's mock theta functions.

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