English

The Cobordism Hypothesis in Dimension 1

Algebraic Topology 2012-10-02 v1

Abstract

In 2009 Lurie published an expository article outlining a proof for a higher version of the cobordism hypothesis conjectured by Baez and Dolan in 1995. In this note we give a proof for the 1-dimensional case of this conjecture. The proof follows most of the outline given in Lurie's paper, but differs in a few crucial details. In particular, the proof makes use of the theory of quasi-unital \infty-categories as developed by the author in a previous note.

Keywords

Cite

@article{arxiv.1210.0229,
  title  = {The Cobordism Hypothesis in Dimension 1},
  author = {Yonatan Harpaz},
  journal= {arXiv preprint arXiv:1210.0229},
  year   = {2012}
}
R2 v1 2026-06-21T22:13:33.800Z