Motivic Donaldson–Thomas invariants and the Kac conjecture
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Publication:4914612
DOI10.1112/S0010437X13007148zbMath1264.14072arXiv1103.2100OpenAlexW3099236433WikidataQ123198487 ScholiaQ123198487MaRDI QIDQ4914612
Publication date: 15 April 2013
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.2100
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Representations of quivers and partially ordered sets (16G20)
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Topological strings, quiver varieties, and Rogers-Ramanujan identities ⋮ Cohomological Hall algebras and character varieties ⋮ Translation quiver varieties ⋮ Motivic classes of commuting varieties via power structures ⋮ Instanton counting and wall-crossing for orbifold quivers ⋮ Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex ⋮ Cohomological Hall Algebras, Semicanonical Bases and Donaldson–Thomas Invariants for 2-dimensional Calabi–Yau Categories (with an Appendix by Ben Davison) ⋮ Positivity for Kac polynomials and DT-invariants of quivers. ⋮ Parallels between moduli of quiver representations and vector bundles over curves ⋮ Enumerating coloured partitions in 2 and 3 dimensions ⋮ On the number of stable quiver representations over finite fields. ⋮ Crystal melting, BPS quivers and plethystics
Cites Work
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- On the number of stable quiver representations over finite fields.
- The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
- Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima).
- Counting representations of quivers over finite fields
- A computational criterion for the Kac conjecture.
- Cohomological Hall algebra of a symmetric quiver
