The level structure in quantum K-theory and mock theta functions
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.
Fields of Study & Subjects
Advanced Mathematical Identities
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Geometry & Topology
- Publisher
- Mathematical Sciences Publishers
- Volume
- 30
- Issue
- 3
- Pages
- 835–882
- Publication date
- 20 April 2026
- Language
- EN