Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Tuesday, June 21, 2011, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Eric Sedgewick (DePaul Univ.)

Recognition of a knot complement

Suppose that a 3-manifold is given via a triangulation. Is it possible to recognize the manifold? Is it a ball, a sphere, or, the complement of a knot? While related questions are known to be trivial in dimension 2 and unsolvable in dimension 4, dimension 3 remains fertile ground for investigation. We demonstrate knot complement recognition using normal surface theory, the basis for both Haken's unknot recognition and Rubinstein and Thompson's 3-sphere (3-ball) recognition.

Joint work with William Jaco.

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