Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

Stable functions and common stabilizations of Heegaard splittings

Author(s): Jesse Johnson
Journal: Trans. Amer. Math. Soc. 361 (2009), 3747-3765.
MSC (2000): Primary 57Mxx
Posted: March 4, 2009
MathSciNet review: 2491898
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We present a new proof of Reidemeister and Singer's Theorem that any two Heegaard splittings of the same 3-manifold have a common stabilization. The proof leads to an upper bound on the minimal genus of a common stabilization in terms of the number of negative slope inflection points and type two cusps in a Rubinstein-Scharlemann graphic for the two splittings.

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