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Diagrams for relative
trisections
Nickolas A. Castro, David T. Gay and Juanita Pinzón-Caicedo |
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Vol. 294 (2018), No. 2, 275–305
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Abstract |
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We establish a correspondence between trisections of smooth, compact, oriented -manifolds with connected boundary and diagrams describing these trisected -manifolds. Such a diagram comes in the form of a compact, oriented surface with boundary together with three tuples of simple closed curves, with possibly fewer curves than the genus of the surface, satisfying a pairwise condition of being standard. This should be thought of as the -dimensional analog of a sutured Heegaard diagram for a sutured -manifold. We also give many foundational examples. |
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Keywords
trisection, open book, Heegaard diagram, monodromy,
3-manifold, 4-manifold
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Mathematical Subject Classification 2010
Primary: 57M99
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Milestones
Received: 18 January 2017
Revised: 16 October 2017
Accepted: 30 October 2017
Published: 20 February 2018
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Authors |
| Nickolas A. Castro | |
| Department of Mathematics University of California, Davis One Shields Ave Davis, CA 95616 United States |
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| David T. Gay | |
| Euclid Lab 160 Milledge Terrace Athens, GA 30606 United States |
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| Juanita Pinzón-Caicedo | |
| Department of Mathematics NC State University 2108 SAS Hall Raleigh, NC 27695 United States |
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