Abstract:
Starting from the '80, contact topology, i.e. the study of completely non-integrable plane distributions in 3-manifolds, has become more and more prominent in geometric topology. In recent year equivariant geometry has entered the picture, with the study of knots in S^3 being both set-wise fixed by the standard involution on the sphere, i.e. strongly invertible, and being tangent to such plane distribution, i.e. Legendrian.The aim of this seminar is to present a classification of invariant tight contact structures on R^3 and S^3: this result could open the door to a coarse classification of strongly invertible Legendrian unknots in the 3-space.
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A presto,
Federico e Matteo
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Good morning everyone,
The next S.P.I.E.Dini
seminar will be held by Mirko Torresani (University of Florence)
📅 Date and time: Thursday ,February 5 2026 from 3 pm to 4 pm in Room Tricerri - DIMAI
Title: Classifying invariant tight contact structures on the 3-space and 3-sphere
Abstract: Starting from the '80, contact topology, i.e. the study of completely non-integrable plane distributions in 3-manifolds, has become more and more prominent in geometric topology. In recent year equivariant geometry has entered the picture, with the study of knots in S^3 being both set-wise fixed by the standard involution on the sphere, i.e. strongly invertible, and being tangent to such plane distribution, i.e. Legendrian.
The aim of this seminar is to present a classification of invariant tight contact structures on R^3 and S^3: this result could open the door to a coarse classification of strongly invertible Legendrian unknots in the 3-space
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