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SUMMARY:John Baldwin
DTSTART:20210405T190000Z
DTEND:20210405T200000Z
DTSTAMP:20260423T004822Z
UID:mitgt/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mitgt/14/">I
 nstanton L-spaces and splicing</a>\nby John Baldwin as part of MIT Geometr
 y and Topology Seminar\n\n\nAbstract\nWe prove that the 3-manifold obtaine
 d by gluing the complements of two nontrivial knots in homology 3-sphere i
 nstanton L-spaces\, by a map which identifies meridians with Seifert longi
 tudes\, cannot be an instanton L-space. This recovers the recent theorem o
 f Lidman-Pinzon-Caicedo-Zentner that the fundamental group of every closed
 \, oriented\, toroidal 3-manifold admits a nontrivial SU(2)-representation
 \, and consequently Zentner's earlier result that the fundamental group of
  every closed\, oriented 3-manifold besides the 3-sphere admits a nontrivi
 al SL(2\, C)-representation. This is joint work with Steven Sivek.\n
LOCATION:https://researchseminars.org/talk/mitgt/14/
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