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Thursday, March 12, 2015

Knot invariants from contact homology and string topology

Kai Cieliebak (Universitaet Augsburg)

Abstract: In the first part of the talk, a relative version of the Chas-Sullivan string topology operations is used to construct a knot invariant known as Lenny Ng's cord algebra. This invariant distinguishes the unknot from all nontrivial knots, and it contains some classical knot invariants such as the Alexander polynomial.In the second part of the talk, I will show that the cord algebra agrees with a holomorphic curve invariant, the Legendrian contact homology of the unit conormal bundle.

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Location :  Room 611 of the Hans Freudenthal building, formerly known as the Wiskunde/Maths building, (campus De Uithof) Budapestlaan 6, Utrecht.
Date and time : Thursday, March 12, 2015 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.