On the classification of closed Pseudo-Anosov 3-braids in the standard contact 3-space

Tatsuya Tsukamoto

KNOTS in WASHINGTON XV (2nd Japan-USA Workshop in Knot Theory)
January 10-15, 2003
George Washington University and Johns Hopkins University
Washington, DC and Baltimore, MD, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Shin-ichi Suzuki, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage

On the classification of closed Pseudo-Anosov 3-braids in the standard contact 3-space
by
Tatsuya Tsukamoto
Waseda University
Coauthors: W. Menasco

This talk is about the work in progress. Birman and Menasco has shown that there are non-transversally simple knot, that is, transversal knots which cannot be classified by their topological knot types and their Bennequin number by analizing immersed surface. In fact their topological knot types are closed Pseudo-Anosov closed 3-braids. In our work, we analize a branched surface related to such knots. In this talk, we introduce a new transversal isotopy invariant based on such branched surfaces.

Date received: January 10, 2003