Journal article 1139 views
Vanishing of universal characteristic classes for handlebody groups and boundary bundles
Jeff Giansiracusa,
Ulrike Tillmann,
Jeffrey Giansiracusa
Springer/TCMS, Volume: 6, Issue: 1, Pages: 103 - 112
Swansea University Author: Jeffrey Giansiracusa
Abstract
Using certain Thom spectra appearing in the study of cobordism categories, we show that the odd half of the Miller-Morita-Mumford classes on the mappping class group of a surface with negative Euler characteristic vanish in integral cohomology when restricted to the handlebody subgroup. This is a sp...
| Published in: | Springer/TCMS |
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| Published: |
2011
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa8377 |
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| Abstract: |
Using certain Thom spectra appearing in the study of cobordism categories, we show that the odd half of the Miller-Morita-Mumford classes on the mappping class group of a surface with negative Euler characteristic vanish in integral cohomology when restricted to the handlebody subgroup. This is a special case of a more general theorem valid in all dimensions: universal characteristic classes made from monomials in the Pontrjagin classes (and even powers of the Euler class) vanish when pulled back from BDiff(\partial W) to BDiff(W). |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
103 |
| End Page: |
112 |