- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Stable moduli space of high dimensional manifolds
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Stable moduli space of high dimensional manifolds Perlmutter, Nathan
Description
For integers g and n, let V^{2n+1}_{g} denote the g-fold boundary connect-sum of the manifold D^{n+1}\times S^{n}. In this talk I will discuss recent work of mine with Boris Botvinnik where we determine the (co)homology of the classifying spaces BDiff(V^{2n+1}_{g}, D^{2n}) in the direct limit as g approached infinity, in the case that 2n +1 > 7. In particular we identify its homological type with the infinite loopspace QBO(2n+1)< n >. This calculation enables the determination of all characteristic classes for fibre bundles with fibre V^{2n+1}_{g}, for large g. This result can be viewed as an analogue of the Madsen-Weiss theorem for high dimensional manifolds with boundary.
Item Metadata
Title |
Stable moduli space of high dimensional manifolds
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2016-07-23T10:32
|
Description |
For integers g and n, let V^{2n+1}_{g} denote the g-fold boundary connect-sum of the manifold D^{n+1}\times S^{n}. In this talk I will discuss recent work of mine with Boris Botvinnik where we determine the (co)homology of the classifying spaces BDiff(V^{2n+1}_{g}, D^{2n}) in the direct limit as g approached infinity, in the case that 2n +1 > 7. In particular we identify its homological type with the infinite loopspace QBO(2n+1)< n >. This calculation enables the determination of all characteristic classes for fibre bundles with fibre V^{2n+1}_{g}, for large g. This result can be viewed as an analogue of the Madsen-Weiss theorem for high dimensional manifolds with boundary.
|
Extent |
34 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Standford University
|
Series | |
Date Available |
2017-02-05
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0340860
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Postdoctoral
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International