Journal article
Homology stability for symmetric diffeomorphism and mapping class groups
- Abstract:
- For any smooth compact manifold W with boundary of dimension of at least two we prove that the classifying spaces of its group of diffeomorphisms which fix a set of k points or k embedded disks (up to permutation) satisfy homology stability. The same is true for so-called symmetric diffeomorphisms of W connected sum with k copies of an arbitrary compact smooth manifold Q of the same dimension. The analogues for mapping class groups as well as other generalisations will also be proved.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 311.2KB, Terms of use)
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- Publisher copy:
- 10.1017/S0305004115000638
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Mathematical Proceedings Cambridge Philosophical Society More from this journal
- Volume:
- 160
- Issue:
- 1
- Pages:
- 121-139
- Publication date:
- 2015-12-02
- DOI:
- EISSN:
-
1469-8064
- ISSN:
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0305-0041
- Pubs id:
-
pubs:571138
- UUID:
-
uuid:03b97510-a9b5-4c12-9e91-9abcd2d08198
- Local pid:
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pubs:571138
- Source identifiers:
-
571138
- Deposit date:
-
2015-10-20
- ARK identifier:
Terms of use
- Copyright holder:
- Cambridge Philosophical Society
- Copyright date:
- 2015
- Notes:
- Copyright © 2015 Cambridge Philosophical Society.
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