IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
Equivariant Contact Floer Cohomology for Quotient Spaces
I will discuss some recent work establishing the orderability of contact manifolds which arise as a quotient of an aspherically fillable manifold by a finite group action which extends (non-freely) to the filling. This generalizes the well known case of lens spaces. The main tool is a geometrically equivariant version of contact Floer cohomology parametrized by a higher categorical refinement of the Eliashberg—Polterovich relation on the contact isotopy group, which is locally constant away from the discriminant. This is joint work with Dylan Cant and Jun Zhang.
Date & Time
April 10, 2026 | 9:15am – 10:45am
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04/10/2026 09:15
04/10/2026 10:45
IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
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Topic: Equivariant Contact Floer Cohomology for Quotient Spaces
Speakers: Eric Kilgore, University of Southern California, Los Angeles
More: https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-symplectic-geometry-zoominar-31
I will discuss some recent work establishing the orderability of
contact manifolds which arise as a quotient of an aspherically
fillable manifold by a finite group action which extends (non-freely)
to the filling. This generalizes the well known case of lens spaces.
The main tool is a geometrically equivariant version of contact Floer
cohomology parametrized by a higher categorical refinement of the
Eliashberg—Polterovich relation on the contact isotopy group, which
is locally constant away from the discriminant. This is joint work
with Dylan Cant and Jun Zhang.
Remote Access
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Location
Remote AccessSpeakers
Eric Kilgore, University of Southern California, Los Angeles