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SUMMARY:Oguz Savk (Bogazici University)
DTSTART:20201204T230000Z
DTEND:20201205T000000Z
DTSTAMP:20260423T005730Z
UID:caltechGT/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/caltechGT/9/
 ">Brieskorn spheres\, homology cobordism and homology balls</a>\nby Oguz S
 avk (Bogazici University) as part of Caltech geometry/topology seminar\n\n
 \nAbstract\nA classical question in low-dimensional topology asks which ho
 mology 3-spheres bound homology 4-balls. This question is fairly addressed
  to Brieskorn spheres Σ(p\,q\,r)\, which are defined to be links of singu
 larities x^p+y^q+z^r=0. Over the years\, Brieskorn spheres also have been 
 the main objects for the understanding of the algebraic structure of the i
 ntegral homology cobordism group.\n\nIn this talk\, we will present severa
 l families of Brieskorn spheres which do or do not bound integral and rati
 onal homology balls via Ozsváth-Szabó d-invariant\, involutive Heegaard 
 Floer homology\, and Kirby calculus. Also\, we will investigate their posi
 tions in both integral and\nrational homology cobordism groups.\n
LOCATION:https://researchseminars.org/talk/caltechGT/9/
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