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UID:858a2dfa2e946f77f85effe400fcc57d
CATEGORIES:Topology/Geometry Seminar
CREATED:20251031T122209
SUMMARY:Diffeomorphism Groups of Reducible 3-Manifolds
LOCATION:Hill 705
DESCRIPTION:<p><span style="color: #3d3d3d; font-family: 'Open Sans'; font-size: 17.333
 3px; font-style: normal; font-weight: 400; letter-spacing: normal; orphans:
  2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; w
 ord-spacing: 0px; white-space: normal; float: none;">Let M be a smooth, com
 pact, connected orientable 3-manifold. A classical result of Kneser and Mil
 nor states that M admits a connected sum decomposition into prime factors, 
 unique up to reordering. In general, however, there are infinitely many non
 -isotopic ways to form such a decomposition.&nbsp; We introduce a topologic
 al poset of embedded 2-spheres in M and use it to study the classifying spa
 ce BDiff(M) for the diffeomorphism group of M.&nbsp; We prove that if M is 
 closed then BDiff(M) has finite type, and if M has non-empty boundary then 
 BDiff(M rel ∂M) is homotopy equivalent to a finite CW complex.&nbsp; The th
 eory we develop has other applications for which I’ll provide a brief overv
 iew. This is joint work with Rachael Boyd and Jan Steinebrunner.</span></p>
CONTACT:Corey Bregman, Tufts
DTSTAMP:20260907T040350
DTSTART;TZID=America/New_York:20251111T160000
DTEND;TZID=America/New_York:20251111T170000
SEQUENCE:0
TRANSP:OPAQUE
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