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UID:25b2504a28b20bb30ca46cf2d45d5eaf
CATEGORIES:Topology/Geometry Seminar
CREATED:20250419T225054
SUMMARY:Splitting Spheres for S^2’s in S^4
LOCATION:Hill 705
DESCRIPTION:If K_1 sqcup K_2 is a split link in S^4, a splitting sphere for K is an S^3
  in S^4 such that K_1 lies in one connected component of S^4S^3, and K_2 li
 es in the other. We show that there exist infinitely many pairwise non-isot
 opic splitting spheres for two unlinked, unknotted S^2’s in S^4. Along the 
 way, we introduce barbell diffeomorphisms of 4-manifolds, as constructed by
  Budney-Gabai in their paper “Knotted 3-balls in S^4”.\n
X-ALT-DESC;FMTTYPE=text/html:<p>If K_1 sqcup K_2 is a split link in S^4, a splitting sphere for K is an 
 S^3 in S^4 such that K_1 lies in one connected component of S^4S^3, and K_2
  lies in the other. We show that there exist infinitely many pairwise non-i
 sotopic splitting spheres for two unlinked, unknotted S^2’s in S^4. Along t
 he way, we introduce barbell diffeomorphisms of 4-manifolds, as constructed
  by Budney-Gabai in their paper “Knotted 3-balls in S^4”.</p>
CONTACT:Alison Tatsuoka, Princeton University
DTSTAMP:20260829T005031
DTSTART;TZID=America/New_York:20250422T160000
DTEND;TZID=America/New_York:20250422T170000
SEQUENCE:0
TRANSP:OPAQUE
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