A family of transversely nonsimple knots

Details A family of transversely nonsimple knots A family of transversely nonsimple knots

2008-06-11

arxiv.org/abs/0806.1887v2

Algebr. Geom. Topol. 10 (2010), no. 1, 293--314

Mathematics

Geometric Topology

19 pages, v2: minor corrections to statements in section 2.4

Scientific paper

We apply knot Floer homology to exhibit an infinite family of transversely
nonsimple prime knots starting with $10_{132}$. We also discuss the
combinatorial relationship between grid diagrams, braids, and Legendrian and
transverse knots in standard contact $\mathbb{R}^3$.

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