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SUMMARY:Sally Collins (Georgia Tech)
DTSTART:20221209T160000Z
DTEND:20221209T171500Z
DTSTAMP:20260423T005704Z
UID:CIRGET/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/81/">
 Homology cobordism and knot concordance</a>\nby Sally Collins (Georgia Tec
 h) as part of CRM - Séminaire du CIRGET / Géométrie et Topologie\n\nLec
 ture held in PK-5115.\n\nAbstract\nThe 0-surgeries of two knots K1 and K2 
 are homology cobordant rel meridians if there exists an integer homology c
 obordism X between them such that the two positive knot meridians are in t
 he same homology class of X. It is a natural question to ask: if two knots
  have the “same” 0-surgeries in this sense\, must they be smoothly con
 cordant? We give a pair of rationally slice knots as counterexample\, with
  one of concordance order two and the other of infinite order\, and along 
 the way expand upon a Floer homology technique for obstructing torsion in 
 the smooth concordance group first introduced by Hom\, Kang\, Park\, and S
 toffregen.\n
LOCATION:https://researchseminars.org/talk/CIRGET/81/
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