Open book decomposition
WebAbstract. Due to Alexander, every closed oriented 3 3 -manifold has an open book decomposition. In this note, we review two proofs of this theorem, one which constructs … WebPLANAR OPEN BOOK DECOMPOSITIONS 1623 Figure 1. Each component of LM lies on one of these annuli, and M is braided about the unknot U. To get an open book decomposition of M, we use the natural open book decomposition (D,φ = Id) of S3 where the binding is the unknotU, the page is the disk D and the monodromy φ is the identity …
Open book decomposition
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Web18 de set. de 2009 · We show that if (B,\pi) is an open book decomposition of a contact 3-manifold (Y,\xi), then the complement of the binding B has no Giroux torsion. We also prove the sutured Heegaard-Floer c-bar... Web1 de out. de 2024 · On a closed 3-manifold M, the Giroux correspondence asserts that every contact structure \(\xi \) is carried by some open book decomposition of M: there exists a Reeb vector field for \(\xi \) transverse to the interior of the pages and tangent to the binding [].The dynamics of this specific Reeb vector field is then captured by its first-return map …
WebIn this article, using combinatorial techniques of mapping class groups, we show that a Stein fillable integral homology $3$-sphere supported by an open book decomposition with page a $4$-holed... Web27 de abr. de 2011 · Open Book Decompositions How to Define from a Page of an Open Book How to Define from a Page of an Open Book The Map The Map Completion of the Proof of Theorem 1 Acknowledgments. References Information & Authors Metrics & Citations View Options References Media Share Abstract
WebPLANAR OPEN BOOK DECOMPOSITIONS 1623 Figure 1. Each component of LM lies on one of these annuli, and M is braided about the unknot U. To get an open book … WebIf .B;ˇ/is an open book decomposition of M with page ƒ, it is easy to see that M has a Heegaard splitting of genus b 1.ƒ/. Since M is obtained from each handlebody of the splitting by attaching 2–disks and 3–balls, this immediately implies the inequality (1) b 1.M/ b 1.ƒ/: We will provide a refinement of Inequality (1) in Proposition 2.2.
Web1 de mar. de 2024 · One typical example of a “minority” here is constructed by using an open book decomposition with a monodromy of infinite order, see for instance the preprint Johnson [20]. In fact, this construction gives a distance-2 Heegaard splitting whose Goeritz group is an infinite group.
WebSuppose (Σ,φ) is a planar open book decomposition which supports the standard tight con-tact structure on S3 other than the (D2,Id), and has at most 4 binding components, then (Σ,φ) can be destabilized. We leave the following question open. Question 1.3. graeter\u0027s cherry groveWeb24 de ago. de 2008 · Download PDF Abstract: We show that every open book decomposition of a contact 3-manifold can be represented (up to isotopy) by a smooth … china baby hooded bath towelWebRecently, Honda, Kazez and Matić [9] described an adapted partial open book decomposition of a compact contact 3-manifold with convex boundary by generalizing … china baby jumpsuit sizeWeb5 de jul. de 2007 · This is the starting point of our proof of Theorem 1.1. First, inspired by a construction of Colin and Honda [9], we show that any open book decomposition with pseudo-Anosov monodromy can be ... china baby in my armsWebDefinition. An open book decomposition of a 3-dimensional manifold M is a pair ( B, π) where. B is an oriented link in M, called the binding of the open book; π: M \ B → S1 is a … graeter\\u0027s clevelandWeb4. As mentioned in a comment, Ken Baker has a nice visualization of an open book decomposition of T 3 due to Jeremy Van-Horn Morris. One way to get open book … graeter\\u0027s chocolate chip ice creamWebopen book decomposition and his called the monodromy map. Two open book decompositions are equivalent if there is an ambient isotopy taking binding to binding and pages to pages. We will denote an open book decomposition by (S,h), although, strictly speaking, an open book decom-position is determined by the triple (S,h,K). china baby hooded towel factories