An algebraic analog of the Virasoro group

Mathematics – Quantum Algebra

Scientific paper

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This is a version of a talk on 23 June 2001 at the Prague Conference on Quantum Groups and Integrable Systems, published in th

Scientific paper

10.1023/A:1013342608413

The group of diffeomorphisms of a circle is not an infinite-dimensional algebraic group, though in many ways it behaves as if it were. Here we construct an algebraic model for this object, and discuss some of its representations, which appear in the Kontsevich-Witten theory of two-dimensional topological gravity through the homotopy theory of moduli spaces.

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