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UID:9ac060f01bde8d04b631cdb5716a003f
CATEGORIES:Topology/Geometry Seminar
CREATED:20240209T111323
SUMMARY:Satellite knots and immersed curves
LOCATION:Hill 705
DESCRIPTION:<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:Jonathan Hanselman (Princeton University)
X-EXTRAINFO:Abstract:\nSatellite operations are a valuable method of constructing compl
 icated knots from simpler ones, and much work has gone into understanding h
 ow various knot invariants change under these operations. We describe a new
  way of computing the (UV=0 quotient of the) knot Floer complex using an im
 mersed Heegaard diagram obtained from a Heegaard diagram for the pattern an
 d the immersed curve representing the UV=0 knot Floer complex of the compan
 ion. This is particularly useful for (1,1)-patterns, since in this case the
  resulting immersed diagram is genus one and the computation is combinatori
 al. In the case of one-bridge braid satellites the immersed curve invariant
  for the satellite can be obtained directly from that of the companion by d
 eforming the diagram, generalizing earlier work with Watson on cables. This
  is joint work with Wenzhao Chen.
DTSTAMP:20260921T111123
DTSTART;TZID=America/New_York:20240409T160000
DTEND;TZID=America/New_York:20240409T170000
SEQUENCE:0
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