|
|||||
|
|
|
|
|
|
|
|
|
Betti numbers and
stability for configuration spaces via factorization
homology
Ben Knudsen |
|
Algebraic & Geometric Topology 17 (2017) 3137–3187
|
Abstract |
|
Using factorization homology, we realize the rational homology of the unordered configuration spaces of an arbitrary manifold , possibly with boundary, as the homology of a Lie algebra constructed from the compactly supported cohomology of . By locating the homology of each configuration space within the Chevalley–Eilenberg complex of this Lie algebra, we extend theorems of Bödigheimer, Cohen and Taylor and of Félix and Thomas, and give a new, combinatorial proof of the homological stability results of Church and Randal-Williams. Our method lends itself to explicit calculations, examples of which we include. |
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt
We have not been able to recognize your IP address
35.172.111.71
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
configuration spaces, factorization homology, Lie algebras,
homological stability
|
Mathematical Subject Classification 2010
Primary: 57R19
Secondary: 17B56, 55R80
|
References |
Publication
Received: 8 December 2016
Revised: 9 December 2016
Accepted: 25 January 2017
Published: 19 September 2017
|
Authors |
| Ben Knudsen | |
| Department of Mathematics Harvard University Cambridge, MA United States |
|
| http://scholar.harvard.edu/knudsen/ | |
|
