Ruan's conjecture and integral structures in quantum cohomology

TL;DR

This paper explores Ruan's crepant resolution and flop conjecture, examining their connections to integral structures in quantum cohomology, highlighting recent developments and potential implications.

Contribution

It provides an exposition on recent advances linking Ruan's conjecture with K-theory integral structures in quantum cohomology.

Findings

Connections between crepant resolutions and quantum cohomology are elucidated.

Potential relations between Ruan's conjecture and K-theory are discussed.

Recent progress in understanding the conjecture is summarized.

Abstract

This is an expository article on the recent studies of Ruan's crepant resolution/flop conjecture and its possible relations to the K-theory integral structure in quantum cohomology.