Twisted sheaves and \(\text{SU}(r) / {\mathbb{Z}}_r\) Vafa-Witten theory

DOI10.1007/s00208-021-02303-6zbMath1495.14020arXiv2006.10368OpenAlexW3213789141MaRDI QIDQ2134201

Yunfeng Jiang, Martijn Kool

Publication date: 6 May 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10368

zbMATH Keywords

partition functions\(S\)-dualityHiggs pairstwisted sheavesVafa-Witten theoryGieseker moduli spaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Counting twisted sheaves and S-duality ⋮ Exact formulae and Turán inequalities for Vafa–Witten invariants of surfaces ⋮ Motivic virtual signed Euler characteristics and their applications to Vafa-Witten invariants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shifted symplectic structures
• Torus fixed points of moduli spaces of stable bundles of rank three
• The Betti numbers of the moduli space of stable sheaves of rank 3 on \({\mathbb{P}^2}\)
• Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes
• Donaldson-Thomas type invariants via microlocal geometry
• Donaldson type invariants for algebraic surfaces. Transition of moduli stacks
• Virtual fundamental classes via dg-manifolds
• Riemann-Roch theorems and elliptic genus for virtually smooth schemes
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Localization of virtual classes
• Compact hyperkähler manifolds: Basic results
• On blowup formulae for the \(S\)-duality conjecture of Vafa and Witten. II: The universal functions
• On blowup formulae for the \(S\)-duality conjecture of Vafa and Witten
• A strong coupling test of \(S\)-duality
• AdS/CFT correspondence and topological field theory
• Intersection cohomology of moduli spaces of sheaves on surfaces
• Vafa-Witten invariants for projective surfaces. II: Semistable case
• Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
• The period-index problem for the Brauer group of an algebraic surface
• The Betti numbers of the moduli space of stable sheaves of rank 2 on a ruled surface
• Stable pairs on local \(K3\) surfaces
• The Tanaka-Thomas's Vafa-Witten invariants via surface Deligne-Mumford stacks
• Vertical Vafa-Witten invariants
• Virtual refinements of the Vafa-Witten formula
• Equivariant \(K\)-theory and refined Vafa-Witten invariants
• Monopole contributions to refined Vafa-Witten invariants
• Sheaf counting on local \(K3\) surfaces
• Refined \(\text{SU}(3)\) Vafa-Witten invariants and modularity
• Euler characteristics of moduli spaces of torsion free sheaves on toric surfaces
• Moduli of twisted sheaves
• Stability conditions and curve counting invariants on Calabi-Yau 3-folds
• Equivalences of twisted K3 surfaces
• A theory of generalized Donaldson–Thomas invariants
• Virtual signed Euler characteristics
• The Betti numbers of the moduli space of stable sheaves of rank2 on P2.
• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• Some examples of Mukai's reflections on K3 surfaces
• Localized Donaldson-Thomas theory of surfaces
• Vafa-Witten invariants for projective surfaces I: stable case
• Twisted sheaves and the period-index problem
• The Vafa-Witten theory for gauge group SU\((N)\)
• Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces

This page was built for publication: Twisted sheaves and \(\text{SU}(r) / {\mathbb{Z}}_r\) Vafa-Witten theory