BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Masaki Taniguchi (Riken)
DTSTART:20201110T150000Z
DTEND:20201110T161500Z
DTSTAMP:20260423T041336Z
UID:rlgts/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/rlgts/17/">F
 iltered instanton Floer homology and the 3-dimensional homology cobordism 
 group</a>\nby Masaki Taniguchi (Riken) as part of Regensburg low-dimension
 al geometry and topology seminar\n\n\nAbstract\nWe introduce a family of r
 eal-valued homology cobordism invariants $r_s(Y)$ of oriented homology 3-s
 pheres. The invariants $r_s(Y)$ are based on a quantitative construction o
 f filtered instanton Floer homology. Using our invariants\, we give severa
 l new constraints of the set of smooth boundings of homology 3-spheres. As
  one of the corollaries\, we give infinitely many homology 3-spheres which
  cannot bound any definite 4-manifold. As another corollary\, we show that
  if the 1-surgery of a knot has negative Froyshov invariant\, then the $1/
 n$-surgeries ($n>0$) of the knot are linearly independent in the homology 
 cobordism group. This is joint work with Yuta Nozaki and Kouki Sato.\n
LOCATION:https://researchseminars.org/talk/rlgts/17/
END:VEVENT
END:VCALENDAR