Virtual intersections on the Quot scheme and Vafa-Intriligator formulas

DOI10.1215/S0012-7094-07-13613-5zbMath1117.14055arXivmath/0505685OpenAlexW2012700955MaRDI QIDQ860118

Dragos Oprea, Alina Marian

Publication date: 23 January 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505685

zbMATH Keywords

localizationQuot schemevirtual fundamental classVafa-Intriligator formula

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Vector bundles on curves and their moduli (14H60)

Related Items

Rank-one sheaves and stable pairs on surfaces, The level-rank duality for non-abelian theta functions, Stable quasimaps to GIT quotients, The virtual intersection theory of isotropic Quot schemes, Genus 0 logarithmic and tropical fixed‐domain counts for Hirzebruch surfaces, Gotzmann regularity for globally generated coherent sheaves, Verlinde/Grassmannian correspondence and rank 2 \(\delta\)-wall-crossing, Euler characteristics of tautological bundles over Quot schemes of curves, The moduli space of stable quotients, The \(\varkappa \) ring of the moduli of curves of compact type, Mirror symmetry for stable quotients invariants, On the intersection theory of Quot schemes and moduli of bundles with sections, Kähler classes on universal moduli spaces and volumina of Quot spaces, Rank-level duality for conformal blocks of the linear group, GL Verlinde numbers and the Grassmann TQFT, The virtual \(K\)-theory of Quot schemes of surfaces, Counting maximal Lagrangian subbundles over an algebraic curve, Higher rank K-theoretic Donaldson-Thomas Theory of points, Virtual χ−y‐genera of Quot schemes on surfaces, Moduli spaces of stable quotients and wall-crossing phenomena, Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator
• Conformal field theory and the cohomology of the moduli space of stable bundles
• Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
• Localization of virtual classes
• The intrinsic normal cone
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee
• On the intersection theory of the moduli space of rank two bundles
• FUSION RESIDUES
• Derived quot schemes
• TOWARDS A SCHUBERT CALCULUS FOR MAPS FROM A RIEMANN SURFACE TO A GRASSMANNIAN
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• The Pontryagin Rings of Moduli Spaces of Arbitrary Rank Holomorphic Bundles Over a Riemann Surface
• Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians
• Characteristic Classes of Stable Bundles of Rank 2 Over an Algebraic Curve