Open book decomposition
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 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
Open book decomposition
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WebRecently, Honda, Kazez and Matić [9] described an adapted partial open book decomposition of a compact contact 3-manifold with convex boundary by generalizing … 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 …
WebCV. Dr. Guanghao Sun received the B.S. degree in Medical Engineering from Chiba University, Japan, in 2011. He completed the Frontier Science Course supported by Ministry of Education, Culture, Sports, Science & Technology (MEXT) in Japan, in 2011. His M.S. and Ph.D. degrees in System Design Engineering were received from Tokyo Metropolitan ... 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 …
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. Web31 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 …
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.
Web5 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 ... slow cooker boneless chicken thighs asianWeb5 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... slow cooker boneless chicken breastWebNos 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 ... slow cooker boneless chicken recipesWebPLANAR 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 … slow cooker boneless chicken thighs and riceWebDefinition. 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 … slow cooker boneless hamWeb17 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 ], … slow cooker boneless chicken breast timeWeb23 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. slow cooker boneless pork chops and rice