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SUMMARY:Alan Reid (Rice University)
DTSTART:20220401T150000Z
DTEND:20220401T161500Z
DTSTAMP:20260423T035815Z
UID:CIRGET/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/63/">
 Embedding and bounding geometrically rational homology 3-spheres</a>\nby A
 lan Reid (Rice University) as part of CRM - Séminaire du CIRGET / Géomé
 trie et Topologie\n\n\nAbstract\nBordism properties of closed manifolds ha
 ve been a classical and important topic in topology\; for example it is a 
 classical result of Rohklin that all closed orientable 3-manifolds bound a
  compact 4-manifold. In  the context of hyperbolic manifolds\, a natural g
 eometric version of bordism is that of bounding geometrically: namely whet
 her a connected closed orientable hyperbolic n-manifold M  could arise as 
 the totally geodesic boundary of a compact hyperbolic (n+1)-manifold W. In
  work  with Long (from 2000) we showed that there are infinitely many clos
 ed  orientable hyperbolic n-manifolds that bound geometrically. One  featu
 re of our construction is that all examples produced in dimension  3 have 
 b_1>0.  This led to the question of whether there are rational homology 3-
 spheres that bound geometrically. In this talk we describe a construction 
 of infinitely many such rational homology 3-spheres.\n
LOCATION:https://researchseminars.org/talk/CIRGET/63/
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