Abelian quiver invariants and marginal wall-crossing.

DOI10.1007/s11005-013-0671-0zbMath1342.16011arXiv1212.0410OpenAlexW2047675789MaRDI QIDQ404373

Markus Reineke, Sergey Mozgovoy

Publication date: 4 September 2014

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0410

zbMATH Keywords

wall-crossing formulaeDonaldson-Thomas type invariantsinvariants of quiversmotivic invariants

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Algebraic moduli problems, moduli of vector bundles (14D20) Representations of quivers and partially ordered sets (16G20)

Related Items

Line defects, tropicalization, and multi-centered quiver quantum mechanics ⋮ On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants ⋮ The Coulomb Branch Formula for Quiver Moduli Spaces ⋮ Block–Göttsche invariants from wall-crossing ⋮ Quiver indices and abelianization from Jeffrey-Kirwan residues

Cites Work

• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
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• MPS degeneration formula for quiver moduli and refined GW/Kronecker correspondence
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• From black holes to quivers
• Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima).
• Refined GW/Kronecker correspondence
• Motivic degree zero Donaldson-Thomas invariants
• Positivity for Kac polynomials and DT-invariants of quivers.
• Smooth models of quiver moduli.
• Equivalence of three wall-crossing formulæ
• Refined, motivic, and quantum
• A theory of generalized Donaldson–Thomas invariants
• Block–Göttsche invariants from wall-crossing
• Cohomology of quiver moduli, functional equations, and integrality of Donaldson–Thomas type invariants
• Poisson automorphisms and quiver moduli
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