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Morse position of knots and closed incompressible surfaces

小 沢　 誠　 (駒澤大学)

日時： ２００５年５月９日（月）午後４時００分～５時３０分
場所： 早稲田大学理工学部５１号館１８階１８－０２教室

講演概要

In this talk, we show that we can isotope a closed incompressible surface to a good position in the complement of a knot placed in a Morse position. Then as an application, we have following results.

  1. Smallness of Montesinos tangles
  2. Classification of closed incompressible and meridionally incompressible surfaces in 2-bridge theta-curve or handcuff graph complements

世話人：　塚本　達也，　村上　順　（早稲田大学理工学部数理科学科）
e-mail: tsukamoto@fuji.waseda.jp, murakami@waseda.jp

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