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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 Formula

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/


  Abstract

We compute the value of the simplicial volume for closed, oriented Riemannian manifolds covered by Formula 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.

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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