Poincaré polynomial of the moduli spaces of parabolic bundles

DOI10.1007/BF02878682zbMath0983.14012arXivmath/9902002MaRDI QIDQ1584500

Yogish I. Holla

Publication date: 20 February 2001

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9902002

zbMATH Keywords

Poincaré polynomialmoduli spaceWeil conjecturesBetti numbersparabolic vector bundles

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (5)

Topological mirror symmetry for parabolic Higgs bundles ⋮ Motives of moduli spaces of bundles on curves via variation of stability and flips ⋮ Statistics of moduli space of vector bundles ⋮ Restriction theorems for principal bundles in arbitrary characteristic ⋮ The Boden-Hu conjecture holds precisely up to rank 8

Cites Work

• Cohomology of the moduli of parabolic vector bundles
• Quasi-parabolic Siegel formula
• Moduli of vector bundles on curves with parabolic structures
• Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
• Poincaré polynomials of the variety of stable bundles
• On the cohomology groups of moduli spaces of vector bundles on curves
• A CRITERION FOR THE EXISTENCE OF A PARABOLIC STABLE BUNDLE OF RANK TWO OVER THE PROJECTIVE LINE
• The Yang-Mills equations over Riemann surfaces
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