Quantum $K$-theory and $q$-Difference equations

TL;DR

This paper provides lecture notes on quantum K-theory and q-difference equations, emphasizing explicit computations, examples, and the convergence of local solutions in the context of advanced mathematical research.

Contribution

It offers detailed computational techniques and examples for quantum K-theory and q-difference equations, enhancing understanding of their solutions and convergence properties.

Findings

Explicit computations of q-difference equations in quantum K-theory

Analysis of convergence of local solutions

Illustrative examples demonstrating theoretical concepts

Abstract

This is a set of lecture notes for the first author's lectures on the difference equations in 2019 at the Institute of Advanced Study for Mathematics at Zhejiang University. We focus on explicit computations and examples. The convergence of local solutions is discussed.