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arXiv · 1804.06552

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

Yongbin Ruan·Ming Zhang
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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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Yongbin Ruan, Ming Zhang. 2019-06-16. The level structure in quantum K-theory and mock theta functions. https://arxiv.org/abs/1804.06552

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