2020年8月28日
Unknotting operations, crosscap numbers, and volume bounds (full proofs)
Quantum Topology Seminar (MSCS, Chicago)
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発表資料
回数 : 98
- 記述言語
- 英語
- 会議種別
- 口頭発表(招待・特別)
- 主催者
- L. H. Kauffman
- 開催地
- Chicago
- 国・地域
- アメリカ合衆国
In this talk, we introduce two invariants to compute the crosscap number for any alternating knot. One of the two invariants is given by band surgery and the other one is of splicing. For the former, it is easy to see the correspondence between band surgeries and crosscap numbers. For the latter, though the proof is more technical than the former, we have a general argument of computations for crosscap numbers including those of alternating knots and some non-alternating knots. Further, we discuss a relationship between our invariants and known bounds with respect to the Jone polynomial or hyperbolic volume bounds.
This is a joint work with Yusuke Takimura (Gakushuin Boys’ Junior High School)
Paper's PDF: https://www.worldscientific.com/doi/epdf/10.1142/S0129167X20501116
This is a joint work with Yusuke Takimura (Gakushuin Boys’ Junior High School)
Paper's PDF: https://www.worldscientific.com/doi/epdf/10.1142/S0129167X20501116
- リンク情報
-
- 共同研究・競争的資金等の研究課題
- バシリエフ不変量の圏論化の探究と展開
- URL
- http://homepages.math.uic.edu/~kauffman/ 本文へのリンクあり
- URL
- https://www.dropbox.com/sh/5c3xihm2mkdo5s5/AADl_aRwAB3EfT2YpiLfCRZ-a?dl=0 本文へのリンクあり