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DTSTAMP:20260405T192006Z
UID:5c8a5b8a72435832665870@ist.ac.at
DTSTART:20191106T130000
DTEND:20191106T141500
DESCRIPTION:Speaker: Raphael Zentner\nAbstract: We prove that the splicing 
 of any two non-trivial knots in the 3-sphere admits an irreducible SU(2)-r
 epresentation of its fundamental group. This uses instanton gauge theory\,
  and in particular a non-vanishing result of Kronheimer-Mrowka and some ne
 w results that we establish for holonomy perturbations of the ASD equation
 . Using a result of Boileau\, Rubinstein and Wang (which builds on the geo
 metrization theorem of 3-manifolds)\, it follows that the fundamental grou
 p of any integer homology 3-sphere different from the 3-sphere admits irre
 ducible representations of its fundamental group in SL(2\,C). Using work o
 f Kuperberg\, we obtain the corollary that 3-sphere recognition is in coNP
  if the generalized Riemann hypothesis holds.
LOCATION:Mondi Seminar Room 3\, Central Building\, ISTA
ORGANIZER:hwagner@ist.ac.at
SUMMARY:Raphael Zentner: GeomTop Seminar: Irreducible SL(2\,C)-representati
 ons of integer homology 3-spheres
URL:https://talks-calendar.ista.ac.at/events/2394
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