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Immersed and Virtually Embedded Boundary Slopes for some Arithmetic Manifolds.

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Anneke Bart, SLU

What
  • Topology Seminar
When Thu, Nov 07, 2002
from 01:10 PM to 02:00 PM
Where RH 211
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Abstract: Suppose we're given a hyperbolic manifold M whose fundamental group is a finite index subgroup of a Bianchi Group.( i.e groups of the form PSL2(Od), where Od is the ring of integers in Q(Ã-d).) We will show that all boundary slopes are realized by immersed, totally geodesic surfaces. It has been known for a while that totally geodesic surfaces lift to embedded surfaces in a finite cover. Thus all slopes for M are virtually embedded boundary slopes.

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