• Corpus ID: 119636853

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

  title={The level structure in quantum K-theory and mock theta functions},
  author={Yongbin Ruan and Ming Ming Zhang},
  journal={arXiv: Algebraic Geometry},
  • Y. Ruan, M. Zhang
  • Published 18 April 2018
  • Mathematics
  • arXiv: Algebraic Geometry
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 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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