GT seminar: "A deformation of Chekanov-Eliashberg dg-algebra for Legendrian knots"

  • Date: –14:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å64119
  • Lecturer: Milica Ðukic (UU)
  • Organiser: Matematiska institutionen
  • Contact person: Alex Takeda
  • Seminarium

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.