Tuesday Seminar on Topology

Seminar information archive ~07/20Next seminarFuture seminars 07/21~

Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya


17:00-18:00   Online
Pre-registration required. See our seminar webpage.
Tetsuya Ito (Kyoto University)
Quantitative Birman-Menasco theorem and applications to crossing number (JAPANESE)
[ Abstract ]
Birman-Menasco proved that there are finitely many knots having a given genus and braid index. We give a quantitative version of Birman-Menasco finiteness theorem; an estimate of the crossing number of knots in terms of genus and braid index. As applications, we give various supporting evidences of various conjectural properties of the crossing number of knots.
[ Reference URL ]