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SUMMARY:Russel Avdek (Uppsala Universitet): Holomorphic curve invariants o
f convex hypersurfaces.
DTSTART;VALUE=DATE-TIME:20210521T130000Z
DTEND;VALUE=DATE-TIME:20210521T135000Z
DTSTAMP;VALUE=DATE-TIME:20220924T171600Z
UID:indico-contribution-5356@indico.math.cnrs.fr
DESCRIPTION:Let S be a convex hypersurface with neighborhood N(S) inside o
f some contact manifold. When dim(S)=2 the contact topology of N(S) is gov
erned by simple closed curves on S. However\, few tools are currently avai
lable to study N(S) when dim(S)>2. We provide such a tool which is applica
ble in any dimension by computing the sutured contact homology of N(S) in
terms of linearized invariants of the positive and negative regions of S.
The proof combines Morse-Bott\, obstruction bundle gluing\, and virtual pe
rturbation techniques.\n\nhttps://indico.math.cnrs.fr/event/5787/contribut
ions/5356/
LOCATION:ZOOM (En ligne)
RELATED-TO:indico-event-5787@indico.math.cnrs.fr
URL:https://indico.math.cnrs.fr/event/5787/contributions/5356/
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