Journal article
High Distance Bridge Surfaces
Algebraic and Geometric Topology, Vol.13(5), pp.2925-2946
03/19/2012
DOI: 10.2140/agt.2013.13.2925
Abstract
Algebr. Geom. Topol. 13 (2013) 2925-2946 Given integers b, c, g, and n, we construct a manifold M containing a c-component link L so that there is a bridge surface Sigma for (M,L) of genus g that intersects L in 2b points and has distance at least n. More generally, given two possibly disconnected surfaces S and S', each with some even number (possibly zero) of marked points, and integers b, c, g, and n, we construct a compact, orientable manifold M with boundary S \cup S' such that M contains a c-component tangle T with a bridge surface Sigma of genus g that separates the boundary of M into S and S', |T \cap Sigma|=2b and T intersects S and S' exactly in their marked points, and Sigma has distance at least n.
Details
- Title: Subtitle
- High Distance Bridge Surfaces
- Creators
- Ryan BlairMaggy TomovaMichael Yoshizawa
- Resource Type
- Journal article
- Publication Details
- Algebraic and Geometric Topology, Vol.13(5), pp.2925-2946
- DOI
- 10.2140/agt.2013.13.2925
- ISSN
- 1472-2747
- eISSN
- 1472-2739
- Language
- English
- Date published
- 03/19/2012
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985863302771
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