Tuesday Seminar on Topology

Seminar information archive ~04/07Next seminarFuture seminars 04/08~

Date, time & place Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) IKE Yuichi, KONNO Hokuto, SAKASAI Takuya

2021/04/13

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 ]
https://u-tokyo-ac-jp.zoom.us/meeting/register/tJUpcOCppzwpGd3r_XqdszQ1XN6FvXpNURbj