nLab
nCob

As a category, nCobn Cob has (n1)(n-1)-dimensional compact oriented manifolds as objects and nn-dimensional oriented cobordisms between these as morphisms. It plays a fundamental role in TQFT.

For some purposes, we want nCobn Cob to be an n-category, but this is less well understood.

category: category

Revised on December 29, 2009 07:33:17 by Toby Bartels (71.31.210.131)