10 citations · 24 across the 7 of their papers we have counts for
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math.GT2012
Computing closed essential surfaces in knot complements
Benjamin A. Burton, Alexander Coward, Stephan Tillmann
We present a new, practical algorithm to test whether a knot complement contains a closed essential surface. This property has important theoretical and algorithmic consequences; h…
math.GT2012
Crossing changes and circular Heegaard splittings
Alexander Coward
We use technology from sutured manifold theory and the theory of Heegaard splittings to relate genus reducing crossing changes on knots in S^3 to twists on surfaces arising in circ…
math.GT2012★ 4 cited
Topological and physical knot theory are distinct
Alexander Coward, Joel Hass
Physical knots and links are one-dimensional submanifolds of R^3 with fixed length and thickness. We show that isotopy classes in this category can differ from those of classical k…