Flops and the S-duality conjecture

DOI10.1215/00127094-3129595zbMath1331.14055arXiv1311.7476OpenAlexW2951585682WikidataQ123195578 ScholiaQ123195578MaRDI QIDQ894210

Yukinobu Toda

Publication date: 27 November 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7476

zbMATH Keywords

Hall algebraflopsDonaldson-Thomas invariantsS-duality conjectureWall-crossing

Mathematics Subject Classification ID

Related Items (7)

Gopakumar-Vafa invariants via vanishing cycles ⋮ Atiyah class and sheaf counting on local Calabi Yau fourfolds ⋮ Gopakumar-Vafa invariants and wall-crossing ⋮ S-duality for surfaces with \(A_n\)-type singularities ⋮ Vertical D4-D2-D0 bound states on \(K3\) fibrations and modularity ⋮ Multiple D3-instantons and mock modular forms. II ⋮ Multiple D3-instantons and mock modular forms. I

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Stability conditions and extremal contractions
• The Donaldson-Thomas invariants under blowups and flops
• Examples of M5-brane elliptic genera
• Counting curves on surfaces in Calabi-Yau 3-folds
• Multiple D4-D2-D0 on the conifold and wall-crossing with the flop
• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• Three-dimensional flops and noncommutative rings
• Noncommutative deformations and flops
• The theory of Jacobi forms
• Configurations in abelian categories. II: Ringel-Hall algebras
• The M5-brane elliptic genus: modularity and BPS states
• Genus zero Gopakumar-Vafa invariants of contractible curves
• Flops connect minimal models
• Birational Calabi-Yau threefolds and BPS state counting
• Donaldson-Thomas type invariants via microlocal geometry
• On blowup formulae for the \(S\)-duality conjecture of Vafa and Witten
• A strong coupling test of \(S\)-duality
• Flops and derived categories.
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.
• Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
• Semistable sheaves in positive characteristic
• Wall-crossing of D4-D2-D0 and flop of the conifold
• Split states, entropy enigmas, holes and halos
• Donaldson-Thomas theory and cluster algebras
• Multiple cover formula of generalized DT invariants. I: Parabolic stable pairs
• Configurations in abelian categories. IV: Invariants and changing stability conditions
• Stability conditions on triangulated categories
• Moduli stacks and invariants of semistable objects on \(K3\) surfaces
• Donaldson-Thomas invariants and flops
• A theory of generalized Donaldson–Thomas invariants
• Motivic Donaldson-Thomas invariants: summary of results
• Curve counting theories via stable objects I. DT/PT correspondence
• Hall algebras and curve-counting invariants
• Counting Invariant of Perverse Coherent Sheaves and its Wall-crossing
• Moduli of complexes on a proper morphism
• CHAMBER STRUCTURE OF POLARIZATIONS AND THE MODULI OF STABLE SHEAVES ON A RULED SURFACE
• Tilting in abelian categories and quasitilted algebras
• Bogomolov-Gieseker-type inequality and counting invariants
• Generalized Donaldson-Thomas invariants of \(2\)-dimensional sheaves on local \(\mathbb{P}^2\)

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