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

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

category: category

Last revised on December 29, 2009 at 07:33:17. See the history of this page for a list of all contributions to it.