Title: An algebraic analog of the Virasoro group
Author: Jack Morava
AMS classification: 81R10, 55S25
Address: The Johns Hopkins University
Baltimore 21218 Maryland
e-mail: jack@math.jhu.edu
Abstract:
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.
This is a version of a talk on 23 June 2001 at the Prague Conference
on Quantum Groups and Integrable Systems, published in the Czechoslovak
J. Physics 51 (2001).