Geometry & Topology
- Geom. Topol.
- Volume 15, Number 2 (2011), 1029-1106.
An algorithm to determine the Heegaard genus of a $3$–manifold
We give an algorithmic proof of the theorem that a closed orientable irreducible and atoroidal –manifold has only finitely many Heegaard splittings in each genus, up to isotopy. The proof gives an algorithm to determine the Heegaard genus of an atoroidal –manifold.
Geom. Topol., Volume 15, Number 2 (2011), 1029-1106.
Received: 15 June 2010
Revised: 16 May 2011
Accepted: 8 May 2011
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57N10: Topology of general 3-manifolds [See also 57Mxx]
Secondary: 57M50: Geometric structures on low-dimensional manifolds 57M5057M25
Li, Tao. An algorithm to determine the Heegaard genus of a $3$–manifold. Geom. Topol. 15 (2011), no. 2, 1029--1106. doi:10.2140/gt.2011.15.1029. https://projecteuclid.org/euclid.gt/1513732311