Quantization via real polarization of the moduli space of flat connections and Chern-Simons gauge theory in genus one

DOI10.1007/BF02099122zbMath0717.53065MaRDI QIDQ2638570

Jonathan Weitsman

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

surfacepolarizationtopological quantum field theorymoduli space of flat connectionsgenus one

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items

Localization for Chern-Simons on circle bundles via loop groups, Degenerating Kähler structures and geometric quantization, Representation variety of free or surface groups and Reidemeister torsion, Quantization of symplectic tori in a real polarization, Coherent state transforms and vector bundles on elliptic curves., Index and dynamics of quantized contact transformations, 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, PROJECTIVE EMBEDDINGS AND LAGRANGIAN FIBRATIONS OF KUMMER VARIETIES, Character varieties, Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial, A Note on Representation Variety of Abelian Groups and Reidemeister Torsion

Cites Work

• Geometric quantization of Chern-Simons gauge theory
• Quantum field theory and the Jones polynomial
• Geometric quantization and quantum mechanics
• Some comments on Chern-Simons gauge theory
• The Yang-Mills equations over Riemann surfaces
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