DISCRETE MODELS FOR THE CATEGORY OF RIEMANN SURFACES

Authors
TILLMANN U
Citation
U. Tillmann, DISCRETE MODELS FOR THE CATEGORY OF RIEMANN SURFACES, Mathematical proceedings of the Cambridge Philosophical Society, 121, 1997, pp. 39-49
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
121
Year of publication
1997
Part
1
Pages
39 - 49
Database
ISI
SICI code
0305-0041(1997)121:<39:DMFTCO>2.0.ZU;2-9
Abstract
We study algebraic models of the Segal category of Riemann surfaces [1 1]. These are 2-categories based on the 1+1 dimensional cobordism cate gory enriched by diffeomorphisms of surfaces (or isotopy classes of su ch). In particular, we show that one of these models is a symmetric st rict monoidal strict 2-category. The main technical tools are quotient constructions on 2-categories.