Open book decomposition

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August undefined, 2024

In mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed oriented 3-manifold M into a union of surfaces (necessarily with boundary) and solid tori. Open books have relevance to contact geometry, with a famous theorem of Emmanuel Giroux (given … Ver mais Definition. 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 → S is a fibration of the … Ver mais In 2002, Emmanuel Giroux published the following result: Theorem. Let M be a compact oriented 3-manifold. Then there is a bijection between the set of oriented Ver mais Webare still mostly open due to absence of several consequences (such as automatic transversality, positivity of intersection, and ﬁlling properties) of these tools in higherdimensions.Inwhatfollows,wewilldeﬁneiteratedplanarity,introducedin

[0907.3512] Holomorphic Open Book Decompositions - arXiv.org

Web21 de set. de 2004 · Download a PDF of the paper titled Lectures on open book decompositions and contact structures, by John B. Etnyre Download PDF Abstract: … Web5 de jul. de 2007 · Equivalently there exists an open book decomposition (Σ g 0 ,1 , h) of M , where the monodromy h is isotopic to a pseudo-Anosov homeomorphism. By stabilizing open book decompositions along... fl western

REEB VECTOR FIELDS AND OPEN BOOK DECOMPOSITIONS …

WebDefinition. 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 … Webstructure starting from an open book decomposition, was established by W. Thurston and H. Winkelnkemper [TW]. Engel structures form a class of plane ﬁelds on 4-manifolds which have Web17 de jul. de 2024 · The question of whether there is a unique open book decomposition, up to positive stabilization, supporting a given contact structure is still open in higher dimensions. Giroux correspondence plays a pivotal role in understanding Floer-theoretic invariants of contact structures, particularly those defined by Ozsváth and Szabó [ 27 ], … green hills memorial sapulpa

OPEN BOOK DECOMPOSITIONS AND CONTACT

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... WebOpenbook (website) Openbook was a Facebook -specific search engine, built upon Facebook's publicly available API, [1] which enabled one to search for specific texts on … green hills memorial chapelWeb7 de mai. de 2013 · Open book decomposition - YouTube This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/nDFJ. … fl wetland map

"Webexists an open book decomposition f: C B!S1 for C. The ber f 1( ) over any 2S1 is an open manifold with the homotopy type of an (n+ 1)-dimensional CW-complex. Moreover there … " - Open book decomposition

Open book decomposition

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. Web20 de jul. de 2009 · Download PDF Abstract: Emmanuel Giroux showed that every contact structure on a closed three dimensional manifold is supported by an open book …

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WebSynonyms for open book decomposition open book de·com·po·si·tion This thesaurus page includes all potential synonyms, words with the same meaning and similar terms for … Web14 de abr. de 2004 · In this note we observe that while all overtwisted contact structures on compact 3--manifolds are supported by planar open book decompositions, not all …

WebNos últimos anos, váarios pesquisadores tais como: A. Bodin, A. Dimca, A. Durfee, A. Jacquemard, A. Menegon Neto, A. Némethi, A. Pichon, A. Verjovsky, A. Zaharia ... Web23 de mar. de 2010 · We extend this to any open book decomposition, with no assumption on the number of binding components, by proving the following result. Theorem 1.2. Let ( B , π) be an open book decomposition of a contact 3-manifold ( Y , ξ ), then the complement of the binding B has no Giroux torsion.

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 … 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

WebOPEN BOOK DECOMPOSITIONS AND CONTACT GEOMETRY D. MART INEZ TORRES 1. Open book decompositions and differential topology 1.1. Introduction and de nitions. …

WebOpen-book decomposition. Wiktionary noun (idiomatic) Something of which salient aspects are obvious or easily interpreted. Wiktionary (idiomatic) A person who through naivete responds candidly to questions or openly displays their emotions or intentions. Wiktionary (mathematics, topology) An open book decomposition. Wiktionary … green hills memorial park plot mapWeb24 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 … flw faoWeb31 de out. de 2024 · The existence of an open book decomposition for any closed, orientable $3$-manifold was proved by J.W. Alexander [a1]. He suggested that the … green hills memorial park san pedro caWeb5 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 ... fl wet reckless statuteWeb1 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. green hills memorial park torrance caWebIn 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... flwfWeb1 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 … flw fabric