K-theoretic Donaldson–Thomas theory and the Hilbert scheme of points on a surface

DOI10.14231/AG-2021-018zbMath1476.14009arXiv1905.04567MaRDI QIDQ4957941

Noah Arbesfeld

Publication date: 6 September 2021

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

Full work available at URL: https://arxiv.org/abs/1905.04567

zbMATH Keywords

Calabi-Yau threefoldslocalizationHilbert schemestautological bundlesDonaldson-Thomas theorycomplex surfacesplethystic exponential

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) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (8)

Double nested Hilbert schemes and the local stable pairs theory of curves ⋮ Big and nef tautological vector bundles over the Hilbert scheme of points ⋮ Euler characteristics of tautological bundles over Quot schemes of curves ⋮ Higher rank K-theoretic Donaldson-Thomas Theory of points ⋮ Universal structures in \(\mathbb{C}\)-linear enumerative invariant theories ⋮ \(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds ⋮ K-theoretic descendent series for Hilbert schemes of points on surfaces ⋮ A representation-theoretic approach to \(qq\)-characters

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