Model structures and quantum cohomology of higher orbifolds

TL;DR

This paper develops model structures for higher orbifolds and explores their application to quantum cohomology, advancing the understanding of the geometric and algebraic properties of these complex spaces.

Contribution

It introduces local and global model structures on higher orbifolds and applies them to study quantum cohomology in higher and derived orbifolds.

Findings

Established model structures on higher orbifolds

Applied model structures to quantum cohomology

Provided new insights into the geometry of higher orbifolds

Abstract

The author explains local and global model structures on higher orbifolds which are truncated \'{e}tale differentiable higher stacks, and discuss the application of the model structures to quantum cohomology of higher and derived orbifolds.