PLANAR OPEN BOOK DECOMPOSITIONS OF 3-MANIFOLDS

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Onaran S.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.44, no.5, pp.1621-1630, 2014 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 44 Issue: 5
• Publication Date: 2014
• Doi Number: 10.1216/rmj-2014-44-5-1621
• Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1621-1630
• Hacettepe University Affiliated: Yes

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.