Open Access
2014 Planar open book decompositions of 3-manifolds
Sinem Onaran
Rocky Mountain J. Math. 44(5): 1621-1630 (2014). DOI: 10.1216/RMJ-2014-44-5-1621

Abstract

Due to Alexander, every closed oriented $3$-manifold has an open book decomposition. In this note, we review two proofs of this theorem, one which constructs a planar open book decomposition. We then present an algorithmic way for determining the monodromy of this planar open book decomposition.

Citation

Download Citation

Sinem Onaran. "Planar open book decompositions of 3-manifolds." Rocky Mountain J. Math. 44 (5) 1621 - 1630, 2014. https://doi.org/10.1216/RMJ-2014-44-5-1621

Information

Published: 2014
First available in Project Euclid: 1 January 2015

zbMATH: 1305.57038
MathSciNet: MR3295645
Digital Object Identifier: 10.1216/RMJ-2014-44-5-1621

Subjects:
Primary: 57M99 , 57N10

Keywords: 3-manifold , open book decomposition , planar open book decomposition

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 5 • 2014
Back to Top