Journal of Topology

Journal of Topology Advance Access originally published online on May 15, 2008
Journal of Topology 2008 1(3):584-602; doi:10.1112/jtopol/jtn012

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© 2008 London Mathematical Society

The simplicial volume of closed manifolds covered by

Michelle Bucher-Karlsson

Mathematics Department, Royal Institute of Technology (KTH), SE-100 44 Stockholm, Sweden mickar@math.kth.se http://www.math.kth.se/~mickar/

We compute the value of the simplicial volume for closed, oriented Riemannian manifolds covered by explicitly, and thus in particular for products of closed hyperbolic surfaces. This gives the first exact value of a nonvanishing simplicial volume for a manifold not admitting a hyperbolic structure.

Received September 13, 2007.

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2000 Mathematics Subject Classification 55N10, 20J06

The author was supported by the Swiss National Science Foundation Grant number PBEZ2-106962, and the Göran Gustafsson Foundation.

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This Article Abstract Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to My Personal Archive Download to citation manager Request Permissions Google Scholar Articles by Bucher-Karlsson, M. Social Bookmarking          What's this?