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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Raphael Zentner\, Regensburg\n\nTitle: “Irreducible SL(2\,C)-re
presentations of integer homology 3-spheres”\n\nAbstract: We prove that the
splicing of any two non-trivial knots in the 3-sphere admits an irreducibl
e SU(2)-representation of its fundamental group. This uses instanton gauge
theory\, and in particular a non-vanishing result of Kronheimer-Mrowka and
some new results that we establish for holonomy perturbations of the ASD eq
uation. Using a result of Boileau\, Rubinstein and Wang (which builds on th
e geometrization theorem of 3-manifolds)\, it follows that the fundamental
group of any integer homology 3-sphere different from the 3-sphere admits i
rreducible representations of its fundamental group in SL(2\,C).
DTEND:20171205T010000Z
DTSTAMP:20190923T193249Z
DTSTART:20171205T000000Z
GEO:34.176412;-97.133549
LOCATION:Caltech
SEQUENCE:0
SUMMARY:LATOP at Caltech\, Talk 1
UID:tag:localist.com\,2008:EventInstance_3197487
URL:https://calendar.usc.edu/event/latop_at_caltech_talk_1_7016
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