Twisted Torus Knots That Are Unknotted Page 1 S. Lee (2014) “Twisted Torus Knots That
Are Unknotted,” International Mathematics Research Notices, Vol. 2014, No. 18, pp. 4958–4996 …

Twisted torus knots are torus knots with some full twists added along some number of
adjacent strands. There are infinitely many known examples of twisted torus knots which are …

We compute the genus zero bridge numbers and give lower bounds on the genus 1 bridge
numbers for a large class of sufficiently generic hyperbolic twisted torus knots. As a result …

We describe for each positive integer ka 3-manifold with Heegaard surfaces of genus 2 k
and 2 k− 1 such that any common stabilization of these two surfaces has genus at least 3 k …

A twisted torus knot is obtained from a torus knot by adding a number of full twists to some
adjacent strands of the torus knot. In this paper, we show that if a twisted torus knot is a torus …

Abstract We show that Heegaard Genus≤ g, the problem of deciding whether a triangulated
3-manifold admits a Heegaard splitting of genus less than or equal to g, is NP-hard. The …

The twisted torus knots T (p, q; r, s) are obtained by performing a sequence of s full twists on
r adjacent strands of (p, q)–torus knots. Morimoto asked whether all twisted torus knots with …

Knot types of twisted torus knots Page 1 Journal of Knot Theory and Its Ramifications Vol. 26,
No. 12 (2017) 1750074 (7 pages) c© World Scientific Publishing Company DOI: 10.1142/S0218216517500742 …

Critical surfaces are defined by Bachman as topological index two surfaces, which are a
natural extension of incompressible surfaces and strongly irreducible surfaces. In this paper …

Twisted torus knots are a generalization of torus knots, obtained by introducing additional
full twists to adjacent strands of the torus knots. In this article, we present an explicit formula …