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- Hiroshi Goda, Martin Scharlemann, Abigail Thompson
- 2000

It is a consequence of theorems of Gordon–Reid [4] and Thompson [8] that a tunnel number one knot, if put in thin position, will also be in bridge position. We show that in such a thin presentation,… (More)

- Charles A. Engh, Steven J Macdonald, Supatra Sritulanondha, Abigail Thompson, Douglas D. R. Naudie
- Clinical orthopaedics and related research
- 2009

UNLABELLED
Metal-on-metal bearing total hip arthroplasty is performed more commonly than in the past. There may be manufacturing differences such as clearance, roughness, metallurgy, and head size… (More)

- MARTIN SCHARLEMANN, Abigail Thompson
- 2002

Let K be a knot with an unknotting tunnel γ and suppose that K is not a 2-bridge knot. There is an invariant ρ = p/q ∈ Q/2Z, p odd, defined for the pair (K, γ). The invariant ρ has interesting… (More)

- Martin Scharlemann, Abigail Thompson
- 2004

It has been conjectured that the geometric invariant of knots in 3–space called the width is nearly additive. That is, letting w(K) ∈ 2N denote the width of a knot K ⊂ S , the conjecture is that… (More)

- Abigail Thompson
- 2008

Suppose F is a compact orientable surface, K is a knot in F × I, and (F × I)surg is the 3-manifold obtained by some non-trivial surgery on K. If F × {0} compresses in (F × I)surg, then there is an… (More)

We show that for any natural number n, there is a tunnel number one knot in S which is not (1, n).

- Abigail Thompson
- 2006

There is an elegant relation [3] among the double tangent lines, crossings, inflections points, and cusps of a singular curve in the plane. We give a new generalization to singular curves in RP . We… (More)

- Marco Catani, Flavio Dell'Acqua, +19 authors Declan G. M. Murphy
- Brain : a journal of neurology
- 2016

It has been postulated that autism spectrum disorder is underpinned by an 'atypical connectivity' involving higher-order association brain regions. To test this hypothesis in a large cohort of adults… (More)

- Abigail Thompson, Declan G. M. Murphy, +6 authors Michael V. Lombardo
- Biological Psychiatry
- 2017

BACKGROUND
Fine motor skill impairments are common in autism spectrum disorder (ASD), significantly affecting quality of life. Sensory inputs reaching the primary motor cortex (M1) from the… (More)

- Abigail Thompson
- 2001

We study trivalent graphs in S3 whose closed complement is a genus two handlebody. We show that such a graph, when put i thin position, has a level edge connecting two vertices.