No Cover Image

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...

Full description

Published in: Springer/TCMS
Published: 2011
URI: https://cronfa.swan.ac.uk/Record/cronfa8377
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2013-07-23T12:00:56Z
last_indexed 2018-02-09T04:37:21Z
id cronfa8377
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2011-10-01T00:00:00.0000000</datestamp><bib-version>v2</bib-version><id>8377</id><entry>2012-02-22</entry><title>Vanishing of universal characteristic classes for handlebody groups and boundary bundles</title><swanseaauthors><author><sid>03c4f93e1b94af60eb0c18c892b0c1d9</sid><firstname>Jeffrey</firstname><surname>Giansiracusa</surname><name>Jeffrey Giansiracusa</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2012-02-22</date><deptcode>FGSEN</deptcode><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).</abstract><type>Journal Article</type><journal>Springer/TCMS</journal><volume>6</volume><journalNumber>1</journalNumber><paginationStart>103</paginationStart><paginationEnd>112</paginationEnd><publisher/><placeOfPublication/><issnPrint/><issnElectronic/><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2011</publishedYear><publishedDate>2011-12-31</publishedDate><doi></doi><url/><notes></notes><college>COLLEGE NANME</college><department>Science and Engineering - Faculty</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>FGSEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2011-10-01T00:00:00.0000000</lastEdited><Created>2012-02-22T13:37:15.0000000</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Jeff</firstname><surname>Giansiracusa</surname><order>1</order></author><author><firstname>Ulrike</firstname><surname>Tillmann</surname><order>2</order></author><author><firstname>Jeffrey</firstname><surname>Giansiracusa</surname><order>3</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2011-10-01T00:00:00.0000000 v2 8377 2012-02-22 Vanishing of universal characteristic classes for handlebody groups and boundary bundles 03c4f93e1b94af60eb0c18c892b0c1d9 Jeffrey Giansiracusa Jeffrey Giansiracusa true false 2012-02-22 FGSEN 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). Journal Article Springer/TCMS 6 1 103 112 31 12 2011 2011-12-31 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2011-10-01T00:00:00.0000000 2012-02-22T13:37:15.0000000 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Jeff Giansiracusa 1 Ulrike Tillmann 2 Jeffrey Giansiracusa 3
title Vanishing of universal characteristic classes for handlebody groups and boundary bundles
spellingShingle Vanishing of universal characteristic classes for handlebody groups and boundary bundles
Jeffrey Giansiracusa
title_short Vanishing of universal characteristic classes for handlebody groups and boundary bundles
title_full Vanishing of universal characteristic classes for handlebody groups and boundary bundles
title_fullStr Vanishing of universal characteristic classes for handlebody groups and boundary bundles
title_full_unstemmed Vanishing of universal characteristic classes for handlebody groups and boundary bundles
title_sort Vanishing of universal characteristic classes for handlebody groups and boundary bundles
author_id_str_mv 03c4f93e1b94af60eb0c18c892b0c1d9
author_id_fullname_str_mv 03c4f93e1b94af60eb0c18c892b0c1d9_***_Jeffrey Giansiracusa
author Jeffrey Giansiracusa
author2 Jeff Giansiracusa
Ulrike Tillmann
Jeffrey Giansiracusa
format Journal article
container_title Springer/TCMS
container_volume 6
container_issue 1
container_start_page 103
publishDate 2011
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description 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).
published_date 2011-12-31T03:10:29Z
_version_ 1763749951932727296
score 11.012678

Similar Items