Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds

Autor:	Ichihara, Kazuhiro, Ozawa, Makoto, Rubinstein, J. Hyam
Rok vydání:	2018
Předmět:	Mathematics - Geometric Topology Primary 57M50. Secondary 57N10
Druh dokumentu:	Working Paper
Popis:	In this paper, by putting a separating incompressible surface in a 3-manifold into Morse position relative to the height function associated to a strongly irreducible Heegaard splitting, we show that an incompressible subsurface of the Heegaard splitting can be found, by decomposing the 3-manifold along the separating surface. Further if the Heegaard surface is of Hempel distance at least 4, then there is a pair of such subsurfaces on both sides of the given separating surface. This gives a particularly simple hierarchy for the 3-manifold. Comment: 6 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1803.09023 Zobrazit plný text záznamu View this record from Arxiv