Composite Knots in the Figure-8 Knot Complement Can Have Any Number of Prime Factors

Authors

Michael C. Sullivan, Southern Illinois University CarbondaleFollow

Comments

Published in Topology and Its Applications, 55(3), 261-272.

Abstract

We study an Anosov flow Ф_t in S³ – {figure-8 knots}. Birman and Williams conjectured that the knot types of the periodic orbits of this flow could have at most two prime factors. Below, we give a geometric method for constructing knots in this flow with any number of prime factors.

Recommended Citation

Sullivan, Michael C. "Composite Knots in the Figure-8 Knot Complement Can Have Any Number of Prime Factors." (Feb 1994).