Spaces of long embeddings and iterated loop spaces
Event details
| Date | 09.11.2012 |
| Hour | 14:15 › 15:30 |
| Speaker | Kathryn Hess (EPFL) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
(Joint work with Bill Dwyer) Let K(m,n) denote the space of long m-knots in Rn, i.e., the space of smooth embeddings of Rm into Rn that agree with a fixed linear embedding outside a compact subspace. Let Bk denote the little k-balls operad. Modulo a framing adjustment, the embedding calculus of Goodwillie, Klein and Weiss leads to an identification of K(m,n) with the derived mapping space of linear Bm-bimodule maps from Bm to Bn. Starting from this, we identify K(m,n) as the (m+1)-fold loop space on the derived mapping space of operad maps from Bm to Bn.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess (EPFL)