Heegaard splittings of Seifert manifolds without an orientable base space

2006/11/28 by Simone Penzavalle, Penzavalle, Simone
Mathematics · #57N10 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57N10

paper · pdf · doi:10.48550/arxiv.math/0611858

20 pages, 3 figures. Removed section about I-bundles as results had already been published

arxiv created 2007/02/07 · arxiv updated 2009/12/01

Abstract

We use Heath's, Moriah's and Schultens's results to prove that irreducible Heegaard splittings of orientable Seifert manifolds with nonorientable base space are either vertical or horizontal.

Related

• Horizontal Heegaard splittings of Seifert fibered spaces
• Heegaard splittings of graph manifolds
• Flipping Heegaard splittings of Seifert fibered spaces
• One-sided and two-sided Heegaard splittings
• Heegaard splittings of compact 3-manifolds