Topology Atlas | Conferences

Knots in the Triangle (Knots kNot in Washington)
April 29 - May 1, 2016
North Carolina State University
Raleigh NC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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On coherent regions of a oriented knot diagram
by
Reiko Shinjo
Kokushikan university
Coauthors: Kokoro Tanaka

Let D be an oriented knot diagram on the two sphere. A face of D is called a coherent (resp. incoherent) region if the orientation of its boundary is coherent (resp. incoherent). We gave some relations between the number of the incoherent regions and the canonical genus of a knot. In this talk, we characterize the knots with a diagram which has less than four coherent regions. This is joint work with Kokoro Tanaka.

Date received: April 17, 2016

Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbmk-33.