The homotopy type of the cobordism category
The embedded cobordism category under study in this paper generalizes the category of conformal surfaces, introduced by G. Segal in [S2] in order to formalize the concept of field theories. Our main result identifies the homotopy type of the classifying space of the embedded d-dimensional cobordism...
Main Authors: | Galatius, S, Madsen, I, Tillmann, U, Weiss, M |
---|---|
Format: | Journal article |
Language: | English |
Published: |
2009
|
Similar Items
-
The classifying space of the 1+1 dimensional cobordism category
by: Tillmann, U
Published: (1996) -
Localisations of cobordism categories and invertible TFTs in dimension two
by: Juer, R, et al.
Published: (2013) -
A note on the (∞,n)-category of cobordisms
by: Calaque, D, et al.
Published: (2019) -
String diagrams for traced and compact categories are oriented 1-cobordisms
by: Spivak, David I, et al.
Published: (2019) -
1 + 1 dimensional cobordism categories and invertible TQFT for Klein surfaces
by: Juer, R
Published: (2012)