Highly Influenced

# Fiber detection for state surfaces

@inproceedings{Futer2013FiberDF, title={Fiber detection for state surfaces}, author={David Futer}, year={2013} }

- Published 2013

Every Kauffman state of a link diagram D.K/ naturally defines a state surface S whose boundary is K . For a homogeneous state , we show that K is a fibered link with fiber surface S if and only if an associated graph G is a tree. As a corollary, it follows that for an adequate knot or link, the second and next-to-last coefficients of the Jones polynomial are the obstructions to certain state surfaces being fibers for K .