GT seminar: "A deformation of Chekanov-Eliashberg dg-algebra for Legendrian knots"
- Date: 22 February 2024, 13:15–14:15
- Location: Ångström Laboratory, Å64119
- Type: Seminar
- Lecturer: Milica Ðukic (UU)
- Organiser: Matematiska institutionen
- Contact person: Alex Takeda
Milica Ðukic will give a seminar talk titled "A deformation of Chekanov-Eliashberg dg-algebra for Legendrian knots"
Abstract: Inspired by symplectic field theory and string topology, we
introduce a chain complex for any Legendrian knot, whose homology is an
invariant of the knot up to Legendrian isotopy. The chain complex is
obtained by deforming Chekanov-Eliashberg differential using
pseudoholomorphic annuli in the symplectization. We show how to compute
the invariant combinatorially for any Legendrian knot in R^3.
This is a talk in our Geometry and Topology seminar series.