Hall algebras in the derived category and higher-rank DT invariants

DOI10.14231/AG-2020-008zbMath1457.14038arXiv1601.07519MaRDI QIDQ5126731

Yukinobu Toda

Publication date: 20 October 2020

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07519

zbMATH Keywords

derived categoryHall algebrasDonaldson-Thomas invariants

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Algebraic moduli problems, moduli of vector bundles (14D20) Mirror symmetry (algebro-geometric aspects) (14J33) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (8)

A relation between higher-rank PT-stable objects and quotients of coherent sheaves ⋮ Fourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic threefolds ⋮ A proof of the Donaldson-Thomas crepant resolution conjecture ⋮ The local categorical DT/PT correspondence ⋮ Rank 2 wall-crossing and the Serre correspondence ⋮ Stable pairs, flat connections and Gopakumar-Vafa invariants ⋮ Higher rank K-theoretic Donaldson-Thomas Theory of points ⋮ Donaldson–Thomas invariants of abelian threefolds and Bridgeland stability conditions

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