Journal article
Alternate Heegaard genus bounds distance
Geometry & topology, Vol.10(1), pp.593-617
01/10/2005
DOI: 10.2140/gt.2006.10.593
Abstract
Geom. Topol. 10 (2006) 593-617 Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. Then either Q is isotopic to a possibly stabilized copy of P or the Hempel distance of the splitting P is no greater than twice the genus of Q. More generally, if P and Q are bicompressible but weakly incompressible connected closed separating surfaces in M then either a) P and Q can be well-separated or b) P and Q are isotopic or c) the Hempel distance of P is no greater than twice the genus of Q.
Details
- Title: Subtitle
- Alternate Heegaard genus bounds distance
- Creators
- Martin ScharlemannMaggy Tomova
- Resource Type
- Journal article
- Publication Details
- Geometry & topology, Vol.10(1), pp.593-617
- DOI
- 10.2140/gt.2006.10.593
- ISSN
- 1364-0380
- eISSN
- 1364-0380
- Language
- English
- Date published
- 01/10/2005
- Academic Unit
- Mathematics; Liberal Arts and Science Admin
- Record Identifier
- 9983985706002771
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