Localizing virtual structure sheaves for almost perfect obstruction theories

DOI10.1017/fms.2020.59zbMath1457.14120arXiv2007.06820OpenAlexW3110891516MaRDI QIDQ5142065

Michail Savvas, Young-Hoon Kiem

Publication date: 29 December 2020

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06820

zbMATH Keywords

virtual localizationcosection localizationvirtual signed Euler characteristicsalmost perfect obstruction theoryK-theoretic wall-crossing formula

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Stacks and moduli problems (14D23)

Related Items (3)

Verlinde/Grassmannian correspondence and rank 2 \(\delta\)-wall-crossing ⋮ Virtual Riemann-Roch theorems for almost perfect obstruction theories ⋮ Symmetric semi-perfect obstruction theory revisited

Cites Work

• Unnamed Item
• A wall crossing formula of Donaldson-Thomas invariants without Chern-Simons functional
• Torus localization and wall crossing for cosection localized virtual cycles
• Group actions on stacks and applications
• Donaldson-Thomas type invariants via microlocal geometry
• Curve counting via stable pairs in the derived category
• Localization of virtual classes
• Gromov-Witten invariants in algebraic geometry
• The intrinsic normal cone
• Toward a definition of moduli of complexes of coherent sheaves on a projective scheme.
• Quantum \(K\)-theory. I: Foundations
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Takagi lectures on Donaldson-Thomas theory
• Riemann-Roch theorems for Deligne-Mumford stacks
• Cycle groups for Artin stacks
• Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee
• A Luna étale slice theorem for algebraic stacks
• Equivariant \(K\)-theory and refined Vafa-Witten invariants
• Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients
• Virtual signed Euler characteristics
• Moduli of complexes on a proper morphism
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Lectures on K-theoretic computations in enumerative geometry
• Virtual pullbacks in K-theory
• Localizing virtual fundamental cycles for semi-perfect obstruction theories
• K-Theoretic Generalized Donaldson–Thomas Invariants
• Localizing virtual cycles by cosections
• Virtual pull-backs
• Localizing Virtual Structure Sheaves by Cosections

This page was built for publication: Localizing virtual structure sheaves for almost perfect obstruction theories