A diagrammatic presentation of the category 3Cob
Jovana Nikolic, Zoran Petric, Mladen Zekic
TL;DR
This paper introduces a diagrammatic framework for representing the category of 3-dimensional cobordisms, providing a visual and compositional understanding of these topological structures.
Contribution
It defines a new diagrammatic presentation of the 3Cob category, making composition operations explicit through planar diagrams.
Findings
Provides a complete diagrammatic description of 3Cob
Enables visual manipulation of cobordisms
Clarifies composition in the category
Abstract
A category equivalent to the category of 3-dimensional cobordisms is defined in terms of planar diagrams. The operation of composition in this category is completely described via these diagrams.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology