Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections

DOI10.1007/s002220050035zbMath0855.58012OpenAlexW4232271550MaRDI QIDQ1922547

Tatsuru Takakura

Publication date: 11 February 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144354

zbMATH Keywords

polarizationsdegeneration of Riemann surfacesmoduli space of flat \(\text{SU} (n)\)-connections

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Cites Work

• The symplectic nature of fundamental groups of surfaces
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Quantum field theory and the Jones polynomial
• Moduli of vector bundles on curves with parabolic structures
• Real polarization of the moduli space of flat connections on a Riemann surface
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• Reduction of symplectic manifolds with symmetry
• Half density quantization of the moduli space of flat connections and Witten's semiclassical manifold invariants
• Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I
• Extended moduli spaces of flat connections on Riemann surfaces
• Toric structures on the moduli space of flat connections on a Riemann surface: Volumes and the moment map
• Spectral asymmetry and Riemannian Geometry. I
• The Yang-Mills equations over Riemann surfaces
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