Classification of Some Open Toric Domains - Michael Hutchings

Published: 01 November 2024
on channel: Institute for Advanced Study
168
10

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Topic: Classification of Some Open Toric Domains
Speaker: Michael Hutchings
Affiliation: University of California, Berkeley
Date: November 01, 2024

We show that two generic, open, convex or concave toric domains in R4 are symplectomorphic if and only if they agree up to reflection. The proof uses barcodes in positive S1-equivariant symplectic homology, or equivalently in cylindrical contact homology.


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