English

A diagrammatic presentation of the category 3Cob

Category Theory 2024-10-08 v5 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.2302.06428,
  title  = {A diagrammatic presentation of the category 3Cob},
  author = {Jovana Nikolic and Zoran Petric and Mladen Zekic},
  journal= {arXiv preprint arXiv:2302.06428},
  year   = {2024}
}

Comments

26 pages, some typos corrected