Quantum singularity theory via cosection localization

2018/05/31 by Young‐Hoon Kiem, Young-Hoon Kiem, Jun Li +2 · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1806.00116

46 pages; clarified historical order in the introduction

openalex publication_date 2018/05/31 · arxiv created 2018/11/16 · arxiv updated 2018/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Algebraic virtual cycles for quantum singularity theories

Cited by

• Cosection localization and vanishing for virtual fundamental classes of d-manifolds
• D-Brane Central Charge and Landau–Ginzburg Orbifolds
• The logarithmic gauged linear sigma model

Related

• Orbifold Milnor lattice and orbifold intersection form
• Singular localization for Quantum groups at generic q
• Cosection localization via shifted symplectic geometry
• Algebraic virtual cycles for quantum singularity theories
• Topology of singular algebraic varieties