Recursive relations for the cohomology ring of moduli spaces of stable bundles

Abstract

The authors learnt that similar results have been independently found by D.Zagier, V.Baranovsky and V.Balaji/A.King/P.Newstead. The corresponding references have been added (and some typos corrected).

15 pages, Latex

Cited by in corpus (16)

• Topological Reduction of 4D SYM to 2D $\sigma$--Models
• Instanton Floer homology for sutured manifolds with tangles
• Intersection numbers on moduli spaces and symmetries of a Verlinde formula
• Cohomology of moduli spaces
• Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited
• Generalization of a conjecture of Mumford
• Sutured Manifolds and Polynomial Invariants from Higher Rank Bundles
• Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle
• Generators of the cohomology ring, after Newstead
• Recursive relations in the cohomology rings of moduli spaces of rank 2 parabolic bundles on the Riemann sphere
• Quantum cohomology of the moduli space of stable bundles over a Riemann surface
• The cohomology of rank two stable bundle moduli: mod two nilpotency & skew Schur polynomials
• Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
• Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles
• Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
• On the rational homotopy type of a moduli space of vector bundles over a curve