Degeneracy loci, virtual cycles and nested Hilbert schemes II

DOI10.1112/S0010437X20007290zbMath1454.14028arXiv1902.04128MaRDI QIDQ5131203

Amin Gholampour, Richard P. Thomas

Publication date: 4 November 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04128

zbMATH Keywords

Hilbert schemedegeneracy locusVafa-Witten invariantsThom-Porteous formulalocal Donaldson-Thomas theory

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (9)

Shuffle algebras associated to surfaces ⋮ Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds ⋮ Counting sheaves on Calabi-Yau 4-folds. I ⋮ Vafa-Witten invariants for projective surfaces I: stable case ⋮ Monopole contributions to refined Vafa-Witten invariants ⋮ Verlinde formulae on complex surfaces: K-theoretic invariants ⋮ Vertical Vafa-Witten invariants ⋮ Virtual χ−y‐genera of Quot schemes on surfaces ⋮ Nested Hilbert schemes on surfaces: virtual fundamental class

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