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Discrete models for the category of Riemann surfaces

Published online by Cambridge University Press:  01 January 1997

ULRIKE TILLMANN
ULRIKE TILLMANN
Affiliation:
Merton College, Oxford, OX1 4JD
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Abstract

We study algebraic models of the Segal category of Riemann surfaces [11]. These are 2-categories based on the 1+1 dimensional cobordism category enriched by diffeomorphisms of surfaces (or isotopy classes of such). In particular, we show that one of these models is a symmetric strict monoidal strict 2-category. The main technical tools are quotient constructions on 2-categories.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 121 , Issue 1 , January 1997 , pp. 39 - 49
Copyright
© Cambridge Philosophical Society 1997

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