Quantization of some moduli spaces of parabolic vector bundles on \({\mathbb C}{\mathbb P}^1\)

DOI10.1007/s10455-012-9340-2zbMath1271.53079arXiv1111.4838OpenAlexW2006098198MaRDI QIDQ1941763

José Mourão, Indranil Biswas, Carlos A. A. Florentino, João Pedro Vidal Nunes

Publication date: 21 March 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4838

zbMATH Keywords

elliptic curvemoduli spacegeometric quantizationparabolic bundlesSegal-Bargmann-Hall transform

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Determinants and determinant bundles, analytic torsion (58J52) Geometric quantization (53D50)

Cites Work

• Determinant line bundle on moduli space of parabolic bundles
• Geometric quantization of Chern-Simons gauge theory
• Quantization of abelian varieties: distributional sections and the transition from Kähler to real polarizations
• The symplectic nature of fundamental groups of surfaces
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Moduli of vector bundles on curves with parabolic structures
• Determinants of parabolic bundles on Riemann surfaces
• Root systems and elliptic curves
• About \(G\)-bundles over elliptic curves
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• Parabolic bundles as orbifold bundles
• Coherent state transforms and vector bundles on elliptic curves.
• Coherent state transforms and abelian varieties
• The first Chern form on moduli of parabolic bundles
• Stable and unitary vector bundles on a compact Riemann surface
• Flat connections and geometric quantization
• On the Krull-Schmidt theorem with application to sheaves
• Vector Bundles Over an Elliptic Curve
• Principal bundles over projective manifolds with parabolic structure over a divisor

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