A diagrammatic presentation of the category 3Cob

2023/02/13 by Nikolic, Jovana, Petric, Zoran, Zekic, Mladen · 1 citation
#18B10 #18M05 #18M30 #57N70 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.06428

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.

Cited by

• Restricted (2+1)-TQFTs supported by thickened and solid tori

Related

• Generalized diagram categories and monoids, and their representations
• On the algebraic characterization of the category of 3-dimensional cobordisms
• The diagrammatic Soergel category and sl(2) and sl(3) foams
• Categorifications from planar diagrammatics
• Lectures on derived and triangulated categories