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Simplicial volume of products and fiber bundles
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2009 (English)In: DISCRETE GROUPS AND GEOMETRIC STRUCTURES  / [ed] Dekimpe K; Igodt P; Valette A, 2009, Vol. 501, 79-86 p.Conference paper, Published paper (Refereed)
Abstract [en]

We give new lower bounds for the simplicial volume of fiber bundles, when the fiber is a surface, improving the lower bounds by Hoster and Kotschick. Our bounds are new also in the product case. Furthermore, for fiber bundles E with fiber F over a base space B we show that the simplicial volume of E is greater or equal to the simplicial volume of the product F x B when E has dimension smaller or equal to 4.

Place, publisher, year, edition, pages
2009. Vol. 501, 79-86 p.
Series
Contemporary Mathematics, ISSN 0271-4132 ; 501
Keyword [en]
Simplicial volume, fiber bundles
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-29704ISI: 000278532800004OAI: oai:DiVA.org:kth-29704DiVA: diva2:396993
Conference
5th International Workshop on Discrete Groups and Geometric Structures, with Applications III
Note
QC 20110211Available from: 2011-02-11 Created: 2011-02-11 Last updated: 2011-02-11Bibliographically approved

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