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Tuesday Seminar on Topology
Seminar information archive ～04/10｜Next seminar｜Future seminars 04/11～
| Date, time & place | Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | IKE Yuichi, KONNO Hokuto, SAKASAI Takuya |
2018/01/16
17:00-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Jimenez Pascual Adrian (The University of Tokyo)
On adequacy and the crossing number of satellite knots (JAPANESE)
Jimenez Pascual Adrian (The University of Tokyo)
On adequacy and the crossing number of satellite knots (JAPANESE)
[ Abstract ]
It has always been difficult to prove results regarding the (minimal) crossing number of knots. In particular, apparently easy problems such as knowing the crossing number of the connected sum of knots, or bounding the crossing number of satellite knots have been conjectured through decades, yet still remain open. Focusing on this latter problem, in this talk I will prove that the crossing number of a satellite knot is bounded from below by the crossing number of its companion, when the companion is adequate.
It has always been difficult to prove results regarding the (minimal) crossing number of knots. In particular, apparently easy problems such as knowing the crossing number of the connected sum of knots, or bounding the crossing number of satellite knots have been conjectured through decades, yet still remain open. Focusing on this latter problem, in this talk I will prove that the crossing number of a satellite knot is bounded from below by the crossing number of its companion, when the companion is adequate.
