Algebraic & Geometric Topology Volume 11, issue 4 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Flipping bridge surfaces and bounds on the stable bridge number

Jesse Johnson and Maggy Tomova

Algebraic & Geometric Topology 11 (2011) 1987–2005

DOI: 10.2140/agt.2011.11.1987

Bibliography

1	D Bachman, Heegaard splittings of sufficiently complicated $3$–manifolds I: Stabilization arXiv:0903.1695
2	T Evans, High distance Heegaard splittings of $3$–manifolds, Topology Appl. 153 (2006) 2631 MR2243739
3	J Hass, A Thompson, W Thurston, Stabilization of Heegaard splittings, Geom. Topol. 13 (2009) 2029 MR2507114
4	C Hayashi, K Shimokawa, Heegaard splittings of trivial arcs in compression bodies, J. Knot Theory Ramifications 10 (2001) 71 MR1822141
5	J Johnson, Bounding the stable genera of Heegaard splittings from below, J. Topol. 3 (2010) 668 MR2684516
6	K Reidemeister, Zur dreidimensionalen Topologie, Abh. Math. Sem. Univ. Hamburg 11 (1933) 189
7	M Scharlemann, M Tomova, Uniqueness of bridge surfaces for $2$–bridge knots, Math. Proc. Cambridge Philos. Soc. 144 (2008) 639 MR2418708
8	J Singer, Three-dimensional manifolds and their Heegaard diagrams, Trans. Amer. Math. Soc. 35 (1933) 88 MR1501673
9	K Takao, A refinement of Johnson's bounding for the stable genera of Heegaard splittings, Osaka J. Math. 48 (2011) 251
10	M Tomova, Multiple bridge surfaces restrict knot distance, Algebr. Geom. Topol. 7 (2007) 957 MR2336246
11	M Tomova, Thin position for knots in a $3$–manifold, J. Lond. Math. Soc. $(2)$ 80 (2009) 85 MR2520379