Year: 2013
Type: article
Abstract: For a punctured surface S , a point of its Teichmüller space T .S/ determines an irreducible representation of its quantization T q .S /.We analyze the behavior of these representations as one goes to infinity in T .S /, or in the moduli space M.S / of the surface.The main result of this paper states that an irreducible representation of T q .S / limits to a direct sum of representations of T q .S /, where S is obtained from S by pinching a multicurve to a set of nodes.The result is analogous to the factorization rule found in conformal field theory.
Source: Algebraic & Geometric Topology
Author: Julien Roger
Institution: Rutgers, The State University of New Jersey
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1970193650