Knot Contact Homology

Geometry Topology Student Seminar
Wednesday, February 5, 2014 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
Knot Contact Homology is a powerful invariant assigning to each smooth knot in three-space a differential graded algebra.  The homology of this algebra is in general difficult to calculate.  We will discuss the cord algebra of a knot, which allows us to calculate the grading 0 knot contact homology.  We will also see a method of extracting information from augmentations of the algebra.