2-category of 2-dimensional cobordisms

This is a special case of the (,n)(\infty,n)-category of cobordisms.


A complete generators and relations presentation of the 2-dimensional extended unoriented oriented bordism bicategory as a symmetric monoidal bicategory is given in

  • Chris Schommer-Pries, The classification of two-dimensional extended topological field theories PhD thesis, UC Berkeley (2009) (pdf)


The 2-category theory in Schommer-Pries’ thesis relies on a thesis by a student of Ross Street:

  • Paddy McCrudden, Balanced coalgebroids , Theory and Applications of Categories 7 (2000), 71-147. (tac)
Revised on January 21, 2010 14:46:06 by Toby Bartels (