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High distance bridge
surfaces
Ryan Blair, Maggy Tomova and Michael Yoshizawa |
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Algebraic & Geometric Topology 13 (2013) 2925–2946
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Abstract |
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Given integers , , and , we construct a manifold containing a –component link so that there is a bridge surface for of genus that intersects in points and has distance at least . More generally, given two possibly disconnected surfaces and , each with some even number (possibly zero) of marked points, and integers , , and , we construct a compact, orientable manifold with boundary such that contains a –component tangle with a bridge surface of genus that separates into and , and intersects and exactly in their marked points, and has distance at least . |
Keywords
bridge surfaces, bridge distance
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Mathematical Subject Classification 2010
Primary: 57M25, 57M50
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References |
Publication
Received: 19 April 2012
Revised: 11 April 2013
Accepted: 23 April 2013
Published: 26 July 2013
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Authors |
| Ryan Blair | |
| Department of Mathematics University of Pennsylvania David Rittenhouse Lab 209 South 33 Street Philadelphia, PA 19104-6395 USA |
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| http://hans.math.upenn.edu/~ryblair | |
| Maggy Tomova | |
| Department of Mathematics University of Iowa 14 MacLean Hall Iowa City, IA 52242-1419 USA |
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| http://www.math.uiowa.edu/~mtomova | |
| Michael Yoshizawa | |
| Department of Mathematics University of California, Santa Barbara South Hall, Room 6607 Santa Barbara, CA 93106-3080 USA |
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| http://math.ucsb.edu/~myoshi | |
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