Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics

DOI10.2140/gt.2021.25.3425zbMath1505.14010arXiv1903.08787OpenAlexW2927174823WikidataQ114045394 ScholiaQ114045394MaRDI QIDQ2078915

Dragos Oprea, Rahul Pandharipande

Publication date: 4 March 2022

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08787

zbMATH Keywords

tautological integralsquot schemesvirtual classesvirtual Euler characteristics

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80)

Related Items (7)

Higher rank Segre integrals over the Hilbert scheme of points ⋮ Big and nef tautological vector bundles over the Hilbert scheme of points ⋮ The virtual intersection theory of isotropic Quot schemes ⋮ Application of Lagrange inversion to wall-crossing for Quot schemes on surfaces ⋮ Euler characteristics of tautological bundles over Quot schemes of curves ⋮ Virtual χ−y‐genera of Quot schemes on surfaces ⋮ K-theoretic descendent series for Hilbert schemes of points on surfaces

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