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Tuesday Seminar on Topology
Seminar information archive ～12/05｜Next seminar｜Future seminars 12/06～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2019/02/12
17:00-18:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Anastasiia Tsvietkova (Okinawa Institute of Science and Technology, Rutgers University)
Representations of knot groups (ENGLISH)
Anastasiia Tsvietkova (Okinawa Institute of Science and Technology, Rutgers University)
Representations of knot groups (ENGLISH)
[ Abstract ]
We describe a new method of producing equations for the representation variety of a knot group into (P)SL(2,C). Unlike known methods, this does not involve any polyhedral decomposition or triangulation of the link complement, and uses only a link diagram satisfying a few mild restrictions. This results in a simple algorithm that can often be performed by hand, and in many cases, for an infinite family of knots at once. This is a joint work with Kathleen Peterson (Florida State University).
We describe a new method of producing equations for the representation variety of a knot group into (P)SL(2,C). Unlike known methods, this does not involve any polyhedral decomposition or triangulation of the link complement, and uses only a link diagram satisfying a few mild restrictions. This results in a simple algorithm that can often be performed by hand, and in many cases, for an infinite family of knots at once. This is a joint work with Kathleen Peterson (Florida State University).
