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UID:c5de393ae10cbbe57e8f96d218b2ba03
CATEGORIES:Topology/Geometry Seminar
CREATED:20231101T203827
SUMMARY:Surgery Exact Triangles in Instanton Theory
LOCATION:Hill 705
DESCRIPTION:Seminar website: https://sites.google.com/view/rutgersgeometrytopologysem23
 24/home (https://sites.google.com/view/rutgersgeometrytopologysem2324/home)
 \n
X-ALT-DESC;FMTTYPE=text/html:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologysem2324/home">https://sites.google.com/view/rutgersgeometrytopo
 logysem2324/home</a></p>
CONTACT:Deeparaj Bhat (MIT)
X-EXTRAINFO:Abstract:\nWe prove an exact triangle relating the knot instanton homology 
 to the instanton homology of surgeries along the knot. As the knot instanto
 n homology is computable in many instances, this sheds some light on the in
 stanton homology of closed 3-manifolds. We illustrate this with computation
 s in the case of some surgeries on the trefoil. In particular, we show the 
 Poincaré homology sphere is not an instanton L-space (with Z/2 coefficients
 ), in contrast with Heegaard Floer and monopole Floer theories. Finally, we
  sketch the proof of the triangle.
DTSTAMP:20260828T175137
DTSTART;TZID=America/New_York:20231107T160000
DTEND;TZID=America/New_York:20231107T170000
SEQUENCE:0
TRANSP:OPAQUE
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