Topological constructions in the o-graph calculus

Theis, Fabian J. (2002) Topological constructions in the o-graph calculus. MATHEMATISCHE NACHRICHTEN, 241: UNSP 0025-. ISSN 0025-584X

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Abstract

BENEDETTI and PETRONIO developed in [1] a so called o-Graph Calculus, where a compact oriented 3-manifold with nonempty boundary could be described by a quadrivalent graph together with some extra structure. In this paper, we will show how topological constructions such as puncturing, connected sums, attaching handles, closing boundary components and product and mapping tori constructions can be translated into the o-graph calculus.

Item Type: Article
Uncontrolled Keywords: ; standard spines; o-graphs; mapping tori; Dehn twists
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Nov 2021 15:42
Last Modified: 17 Nov 2021 15:42
URI: https://pred.uni-regensburg.de/id/eprint/40789

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