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Tuesday Seminar on Topology
Seminar information archive ～03/23｜Next seminar｜Future seminars 03/24～
| Date, time & place | Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | IKE Yuichi, KONNO Hokuto, SAKASAI Takuya |
2018/12/04
17:00-18:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Vincent Florens (Université de Pau et des Pays de l'Adour)
Slopes and concordance of links (ENGLISH)
Vincent Florens (Université de Pau et des Pays de l'Adour)
Slopes and concordance of links (ENGLISH)
[ Abstract ]
We define the slope of a link associated to admissible characters on the link group. Away from a certain singular locus, the slope is a rational function which can be regarded as a multivariate generalization of the Kojima-Yamasaki η-function. It is the ratio of two Conway potentials, provided that the latter makes sense; otherwise, it is a new invariant. We present several examples and discuss the invariance by concordance. Joint with A. Degtyarev and A. Lecuona.
We define the slope of a link associated to admissible characters on the link group. Away from a certain singular locus, the slope is a rational function which can be regarded as a multivariate generalization of the Kojima-Yamasaki η-function. It is the ratio of two Conway potentials, provided that the latter makes sense; otherwise, it is a new invariant. We present several examples and discuss the invariance by concordance. Joint with A. Degtyarev and A. Lecuona.
