Journal article
Distance two links
Geometriae Dedicata, Vol.180(1), pp.17-37
02/2016
DOI: 10.1007/s10711-015-0088-2
Abstract
In this paper, we characterize all links in $$S^3$$ S 3 with bridge number at least three that have a bridge sphere of distance two. We show that if a link L has a bridge sphere of distance at most two then it falls into at least one of three categories: The exterior of L contains an essential meridional sphere. L can be decomposed as a tangle product of a Montesinos tangle with an essential tangle in a way that respects the bridge surface and either the Montesinos tangle is rational or the essential tangle contains an incompressible, boundary-incompressible annulus. L is obtained by banding from another link $$L'$$ L ′ that has a bridge sphere of the same Euler characteristic as the bridge sphere for L but of distance 0 or 1.
Details
- Title: Subtitle
- Distance two links
- Creators
- Ryan Blair - California State University Long Beach Long Beach CA USAMarion Campisi - Stanford University Stanford CA USAJesse Johnson - Oklahoma State University Stillwater OK USAScott Taylor - Colby College Waterville ME USAMaggy Tomova - University of Iowa Iowa City IA USA
- Resource Type
- Journal article
- Publication Details
- Geometriae Dedicata, Vol.180(1), pp.17-37
- DOI
- 10.1007/s10711-015-0088-2
- ISSN
- 0046-5755
- eISSN
- 1572-9168
- Publisher
- Springer Netherlands; Dordrecht
- Grant note
- DMS-1006369 / National Science Foundation (http://dx.doi.org/10.13039/100000001) DMS-1054450 / National Science Foundation (http://dx.doi.org/10.13039/100000001)
- Language
- English
- Date published
- 02/2016
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985827502771
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