Verlinde-type formulas for rational surfaces

DOI10.4171/JEMS/919zbMath1442.14135arXiv1609.07327OpenAlexW2977163483MaRDI QIDQ2302424

Lothar Goettsche

Publication date: 26 February 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07327

zbMATH Keywords

Verlinde formulaDonaldson invariantsmoduli of sheavesstrange dualitydeterminant bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Fine and coarse moduli spaces (14D22) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (2)

Higher rank Segre integrals over the Hilbert scheme of points ⋮ Verlinde formulae on complex surfaces: K-theoretic invariants

Cites Work

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• Seiberg-Witten prepotential from instanton counting
• Instanton counting on blowup. II: \(K\)-theoretic partition function
• The level-rank duality for non-abelian theta functions
• Instanton counting and Donaldson invariants
• Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\)
• \(K\)-theoretic Donaldson invariants via instanton counting
• Instanton counting on blowup. I: 4-dimensional pure gauge theory
• Generating functions for 𝐾-theoretic Donaldson invariants and Le Potier’s strange duality

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