dorsal/arxiv
View SchemaQuantum Moduli Spaces of Flat Connections
| Authors | Anton Yu. Alekseev, Volker Schomerus |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612037 |
| URL | https://arxiv.org/abs/q-alg/9612037 |
Abstract
Using the formalism of discrete quantum group gauge theory, one can construct the quantum algebras of observables for the Hamiltonian Chern-Simons model. The resulting moduli algebras provide quantizations of the algebra of functions on the moduli spaces of flat connections on a punctured 2-dimensional surface. In this note we describe some features of these moduli algebras with special emphasis on the natural action of mapping class groups. This leads, in particular, to a closed formula for representations of the mapping class groups on conformal blocks.
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"abstract": "Using the formalism of discrete quantum group gauge theory, one can construct\nthe quantum algebras of observables for the Hamiltonian Chern-Simons model. The\nresulting moduli algebras provide quantizations of the algebra of functions on\nthe moduli spaces of flat connections on a punctured 2-dimensional surface. In\nthis note we describe some features of these moduli algebras with special\nemphasis on the natural action of mapping class groups. This leads, in\nparticular, to a closed formula for representations of the mapping class groups\non conformal blocks.",
"arxiv_id": "q-alg/9612037",
"authors": [
"Anton Yu. Alekseev",
"Volker Schomerus"
],
"categories": [
"q-alg",
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],
"title": "Quantum Moduli Spaces of Flat Connections",
"url": "https://arxiv.org/abs/q-alg/9612037"
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