- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemMinimal triangulations for an infinite family of lens spacesJaco, W ; Rubinstein, H ; Tillmann, S (WILEY, 2009)
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ItemFINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDSJaco, W ; Rubinstein, JH ; Sedgwick, E (WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03)It is shown that given any link-manifold, there is an algorithm to decide if the manifold contains an embedded, essential planar surface; if it does, the algorithm will construct one. Two similar results are obtained with added boundary conditions. Namely, given a link-manifold M, a component B of ∂M, and a slope γ on B, there is an algorithm to decide if there is an embedded punctured-disk in M with boundary γ and punctures in ∂M\B; and given a link-manifold M, a component B of ∂M, and a meridian slope μ on B, there is an algorithm to decide if there is an embedded punctured-disk with boundary a longitude on B and punctures in ∂M\B. In both cases, if there is one, the algorithm will construct one. The proofs introduce a number of new methods and differ from the classical proofs, using normal surfaces, as solutions may not be found among the fundamental solutions.
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ItemVisualizing Ricci flow of manifolds of revolutionRubinstein, JH ; Sinclair, R (TAYLOR & FRANCIS INC, 2005)
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ItemMinimal Surfaces in Geometric 3-ManifoldsRUBINSTEIN, JH (American Mathematical Society, 2005)
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ItemLocalising Dehn's lemma and the loop theorem in 3-manifoldsAitchison, IR ; Rubinstein, JH (CAMBRIDGE UNIV PRESS, 2004-09)
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Item0-Efficient triangulations of 3-manifoldsJaco, W ; Rubinstein, JH (LEHIGH UNIV, 2003-09)
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ItemPeriod three actions on the three-sphereMaher, J ; Rubinstein, JH (GEOMETRY & TOPOLOGY PUBLICATIONS, 2003)
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ItemMinimal spheres of arbitrarily high morse indexHASS, J. ; NORBURY, P. T. ; RUBINSTEIN, J. H. ( 2003)