[PDF][PDF] The perimeter-minimizing enclosure of two areas in S2

JD Masters - 1996 - projecteuclid.org
… First note that for any two geodesic radii r1 and r2, we can construct a standard double
bubble D(r1,r2) as follows (see Figure 2.1): Take counterclockwise circular arcs C1 and C2 of …

Characterisation of recombinant HERG K+ channel blockade by the Class Ia antiarrhythmic drug procainamide

JM Ridley, JT Milnes, AV Benest, JD Masters… - Biochemical and …, 2003 - Elsevier
Class Ia antiarrhythmic drugs, including procainamide (PROC), are associated with cardiac
sodium channel blockade, delayed ventricular repolarisation and with a risk of ventricular pro…

Closed quasi-Fuchsian surfaces in hyperbolic knot complements

JD Masters, X Zhang - Geometry & Topology, 2008 - projecteuclid.org
By a knot complement we mean, in this paper, the complement of a knot in a connected
closed orientable 3–manifold (which is not necessarily S 3). A knot complement is said to be …

Counting immersed surfaces in hyperbolic 3–manifolds

JD Masters - Algebraic & Geometric Topology, 2005 - msp.org
We count the number of conjugacy classes of maximal, genus g, surface subroups in
hyperbolic 3–manifold groups. For any closed hyperbolic 3–manifold, we show that there is an …

Length multiplicities of hyperbolic 3-manifolds

JD Masters - arXiv preprint math/9812069, 1998 - arxiv.org
Let $ M= H^ 3/\Gamma $ be a hyperbolic 3-manifold, where $\Gamma $ is a non-elementary
Kleinian group. It is shown that the length spectrum of $ M $ is of unbounded multiplicity.

Virtual homology of surgered torus bundles

JD Masters - Pacific Journal of Mathematics, 2000 - msp.org
Let M be a once-punctured torus bundle over S 1 with monodromy h. We show that, under
certain hypotheses on h,“most” Dehn-fillings of M (in some cases all but finitely many) are …

[PDF][PDF] Unique domination in cross-product graphs

JD Masters, QF Stout… - Congressus Numerantium, 1996 - researchgate.net
We present a method for approaching general domination and covering questions, tailored
for cross-product graphs, and demonstrate it for questions concerning the existence of …

Quasi-Fuchsian surfaces in hyperbolic link complements

JD Masters, X Zhang - arXiv preprint arXiv:0909.4501, 2009 - arxiv.org
We show that every hyperbolic link complement contains closed quasi-Fuchsian surfaces.
As a consequence, we obtain the result that on a hyperbolic link complement, if we remove …

[PDF][PDF] Thick surfaces in hyperbolic 3-manifolds

JD Masters - arXiv preprint math/0502395, 2005 - arxiv.org
… We let Hn denote hyperbolic n-space, and we denote the hyperbolic metric by dHn , or
just d when the meaning is clear from context. The boundary at infinity of Hn is denoted Sn−1 …

Virtual Betti numbers of genus 2 bundles

JD Masters - Geometry & Topology, 2002 - msp.org
We show that if M is a surface bundle over S 1 with fiber of genus 2, then for any integer n, M
has a finite cover Mwith b 1 (M)> n. A corollary is that M can be geometrized using only the …