Localized Donaldson-Thomas theory of surfaces

DOI10.1353/ajm.2020.0011zbMath1442.14175arXiv1701.08902OpenAlexW2964096092MaRDI QIDQ5112656

Amin Gholampour, Artan Sheshmani, Shing Tung Yau

Publication date: 4 June 2020

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08902

zbMATH Keywords

Donaldson-Thomas invariantsmoduli spaces of sheavesnested Hilbert schemes

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (13)

Twisted sheaves and \(\text{SU}(r) / {\mathbb{Z}}_r\) Vafa-Witten theory ⋮ Virtual refinements of the Vafa-Witten formula ⋮ Equivariant \(K\)-theory and refined Vafa-Witten invariants ⋮ 3-manifolds and VOA characters ⋮ Vafa-Witten invariants for projective surfaces I: stable case ⋮ Degeneracy loci, virtual cycles and nested Hilbert schemes II ⋮ S-duality and refined BPS indices ⋮ Monopole contributions to refined Vafa-Witten invariants ⋮ Verlinde formulae on complex surfaces: K-theoretic invariants ⋮ Vafa-Witten invariants from exceptional collections ⋮ Vertical Vafa-Witten invariants ⋮ Hilbert schemes of nonreduced divisors in Calabi-Yau threefolds and \(W\)-algebras ⋮ Cobordism invariants from BPS \(q\)-series

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