Hilbert schemes and stable pairs: GIT and derived category wall crossings

DOI10.24033/bsmf.2610zbMath1243.14009arXiv0903.1444OpenAlexW2962778072MaRDI QIDQ2880694

Jacopo Stoppa, Richard P. Thomas

Publication date: 14 April 2012

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1444

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (16)

A theory of generalized Donaldson–Thomas invariants ⋮ Curve counting theories via stable objects I. DT/PT correspondence ⋮ Stable pairs and the HOMFLY polynomial ⋮ Hall algebras and curve-counting invariants ⋮ Introduction to Donaldson–Thomas and Stable Pair Invariants ⋮ Moduli of vector bundles on higher-dimensional base manifolds — Construction and variation ⋮ On reduced stable pair invariants ⋮ Moduli of vector bundles on higher-dimensional base manifolds — Construction and variation ⋮ The local categorical DT/PT correspondence ⋮ Chamber structure and wallcrossing in the ADHM theory of curves. II ⋮ Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex ⋮ Multiple cover formula of generalized DT invariants. I: Parabolic stable pairs ⋮ Derived categories of Thaddeus pair moduli spaces via \(\mathrm{d}\)-critical flips ⋮ Rank 2 wall-crossing and the Serre correspondence ⋮ Crystal melting on toric surfaces ⋮ Cobordism invariants of the moduli space of stable pairs

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