Stable pair invariants under blow-ups

DOI10.1007/s00209-015-1568-7zbMath1342.14113arXiv1407.6138OpenAlexW2286458326MaRDI QIDQ269888

Hua-Zhong Ke

Publication date: 6 April 2016

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

Full work available at URL: https://arxiv.org/abs/1407.6138

zbMATH Keywords

blow-upabsolute/relative correspondenceBPS state countdegeneration formulaGW/DT/P correspondencestable pair invariant

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (1)

Blow-up formulae of high genus Gromov-Witten invariants for threefolds

Cites Work

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• Descendent theory for stable pairs on toric 3-folds
• The Donaldson-Thomas invariants under blowups and flops
• Gromov-Witten/pairs descendent correspondence for toric 3-folds
• Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
• Good degeneration of Quot-schemes and coherent systems
• The local Donaldson-Thomas theory of curves
• Flops, motives, and invariance of quantum rings
• Curve counting via stable pairs in the derived category
• Degeneration of Kähler manifolds
• Localization of virtual classes
• Topological gravity as large \(N\) topological gauge theory
• Toroidal varieties and the weak factorization theorem
• A degeneration formula of GW-invariants
• Gromov-Witten invariants of blow-ups along points and curves
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• The symplectic sum formula for Gromov-Witten invariants
• Blow-up formulae of high genus Gromov-Witten invariants for threefolds
• Hodge integrals and degenerate contributions
• Super-rigid Donaldson-Thomas invariants
• Birational cobordism invariance of uniruled symplectic manifolds
• A topological view of Gromov-Witten theory
• Gromov-Witten/Pairs correspondence for the quintic 3-fold
• Curves on K 3 surfaces and modular forms
• Curve counting theories via stable objects I. DT/PT correspondence
• Hall algebras and curve-counting invariants
• Stable pairs and BPS invariants
• Torification and factorization of birational maps
• Descendents on local curves: rationality
• Curve counting theories via stable objects Ⅱ : DT/ncDT flop formula
• Descendents on local curves: Stationary theory
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II
• Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds

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