Localizing virtual structure sheaves by cosections

2017/05/26 by Young‐Hoon Kiem, Jun Li, Kiem, Young-Hoon +1
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1705.09458

openalex publication_date 2017/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a cosection localized virtual structure sheaf when a Deligne-Mumford stack is equipped with a perfect obstruction theory and a cosection of the obstruction sheaf.

Citations

• Mixed-Spin-P fields of Fermat quintic polynomials
• Invariants of pure 2-dimensional sheaves inside threefolds and modular forms

Related

• Localizing Virtual Cycles by Cosections
• Localizing Virtual Structure Sheaves for Almost Perfect Obstruction Theories
• Virtual intersection theories
• Cosection localization via shifted symplectic geometry
• Torus localization and wall crossing for cosection localized virtual cycles