Quantum singularity theory via cosection localization

Abstract

We generalize the cosection localized Gysin map to intersection homology and Borel-Moore homology, which provides us with a purely topological construction of the Fan-Jarvis-Ruan-Witten invariants and some GLSM invariants.

46 pages; clarified historical order in the introduction

References in corpus (1)

• Algebraic virtual cycles for quantum singularity theories

Cited by in corpus (5)

• D-brane central charge and Landau-Ginzburg orbifolds
• The logarithmic gauged linear sigma model
• General GLSM Invariants and Their Cohomological Field Theories
• Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds
• Virasoro constraints in quantum singularity theories