Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

We show that any closed incompressible surface in the complement of a positive knot is
algebraically non-split from the knot, positive knots cannot bound non-free incompressible …

We introduce two numerical invariants, the waist and the trunk of knots. The waist of a closed
incompressible surface in the complement of a knot is defined as the minimal intersection …

We show that a handlebody-knot whose exterior is boundaryirreducible has a unique
maximal unnested set of knotted handle decomposing spheres up to isotopies and annulus …

ON CANONICAL GENUS OF FIBERED KNOT Page 1 Journal of Knot Theory and Its
Ramifications, Vol. 11, No. 3 (2002) 341-352 © World Scientific Publishing Company ON …

It is well known that for many knot classes in the 3-sphere, every closed incompressible
surface in their complements contains an essential loop which is isotopic into the boundary …

Neuwirth asked if any non-trivial knot in the 3-sphere can be embedded in a closed surface
so that the complement of the surface is a connected essential surface for the knot …

It is conjectured that a hyperbolic knot complement does not contain a closed embedded
totally geodesic surface. In this paper, we show that there are no such surfaces in the …

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In this paper we define the Reidemeister torsion as a rational function on the geometric
components of the character variety of a one-cusped hyperbolic manifold $ M $. We study its …