Stable functions and common stabilizations of Heegaard splittings
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- by Jesse Johnson PDF
- Trans. Amer. Math. Soc. 361 (2009), 3747-3765 Request permission
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.References
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Additional Information
- Jesse Johnson
- Affiliation: Department of Mathematics, Yale University, New Haven, Connecticut 06520
- Email: jessee.johnson@yale.edu
- Received by editor(s): May 30, 2007
- Published electronically: March 4, 2009
- Additional Notes: This research was supported by NSF MSPRF grant 0602368
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 3747-3765
- MSC (2000): Primary 57Mxx
- DOI: https://doi.org/10.1090/S0002-9947-09-04731-X
- MathSciNet review: 2491898