Timeline for (∞,n)-category of triangulated cobordisms
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 29, 2013 at 11:14 | comment | added | Manuel Bärenz | So how about the following: Triangulated cobordisms are normal smooth cobordisms equipped with a thickening of the triangulation that is compatible with composition? (Now the only part is how to figure out which level of composition, since an n-ball can be composed in n different ways.) | |
| Jul 26, 2013 at 14:43 | comment | added | Manuel Bärenz | I'm personally more interested in the PL case, but it seems most cobordism work is done in the smooth case. Also, since the smooth category and the PL category aren't equivalent for higher dimensions, probably the classification of PL ETQFTs doesn't work that smoothly? (Sorry for the pun) But a good definition for higher PL cobordisms sounds like half of the work! | |
| Jul 25, 2013 at 19:12 | comment | added | Theo Johnson-Freyd | And do you want smooth or PL manifolds? | |
| Jul 25, 2013 at 15:21 | comment | added | Manuel Bärenz | Sorry, I have been very superficial. I meant Lurie's smooth cobordisms that use your complete Segal spaces. | |
| Jul 25, 2013 at 15:16 | comment | added | Charles Rezk | I do not have any smooth cobordisms that I am aware of. | |
| Jul 25, 2013 at 15:09 | history | edited | Manuel Bärenz | CC BY-SA 3.0 |
deleted 7 characters in body
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| Jul 25, 2013 at 14:59 | history | asked | Manuel Bärenz | CC BY-SA 3.0 |