Posted in
Speaker:
Koji Fujiwara
Zugehörigkeit:
Tohoku U/MPI
Datum:
Mon, 19/09/2011 - 16:30 - 17:30
Location:
MPIM Lecture Hall
Parent event:
Topics in Topology Let $M$ be a hyperbolic $n$-manifold whose cusps have torus
cross-sections. We constructed a variety of nonpositively and negatively
curved spaces as "$2\pi$-fillings" of $M$ by replacing the cusps of $M$
with compact "partial cones" of their boundaries. We show that the
simplicial volume of any such $2\pi$-filling is positive, and bounded
above by Vol$(M)/v_n$, where $v_n$ is the volume of a regular ideal
hyperbolic $n$-simplex. This result generalizes the fact that hyperbolic
Dehn filling of a 3-manifold does not increase hyperbolic volume. This is
a joint work with J. Manning.
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