Dynamics of composite symplectic dehn twists
Webthat there are symplectic manifolds for which the answer is positive; in fact, a large class of symplectic four-manifolds is shown to have this property. This result is the consequence of the study of a special class of symplectic automorphisms, called generalized Dehn twists. The hard part of studying the symplectic isotopy problem is how to http://arxiv-export3.library.cornell.edu/abs/2208.13041?context=math.DS
Dynamics of composite symplectic dehn twists
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WebOur proof uses a relationship between Heegaard Floer homology and the dynamics of surface diffeomorphisms. This is based on joint work with Yi Ni and Steven Sivek. ... mapping class group elements, symplectic Dehn twists, spherical twists in derived categories, or flop functors for 3-folds. These perspectives lead in turn to a wide array of ... WebNov 5, 2024 · Abstract. This paper introduces a new Lagrangian surgery construction that generalizes Lalonde–Sikorav and Polterovich’s well-known construction, and combines this with Biran and Cornea’s Lagrangian cobordism formalism. With these techniques, we build a framework which both recovers several known long exact sequences (Seidel’s exact ...
WebWe show that composite symplectic Dehn twists have certain form of nonuniform hyperbolicity that can be used to give positive topological entropy as well as two … Webcan relate bered Dehn twists with symplectic Dehn twists. The main goal of this paper is to relate bered Dehn twists and (regular) symplectic Dehn twists for certain classes of symplectic manifolds. We prove the following theorems which shows that in certain cases, bered Dehn twists can be expressed as a product of right-handed Dehn twists.
WebThe reader is invited to look at [Sei2] for a detailed description of symplectic Dehn twists. Somewhat later, Biran and Giroux introduced different symplectomor-phisms, namely the fibered Dehn twists, among which one can find smoothly yet not symplectically trivial maps. In fact, Seidel’s Dehn twist is a partic-ular case of a fibered Dehn ...
WebThen f is a Dehn twist about the curve c. Dehn twists can also be defined on a non-orientable surface S, provided one starts with a 2-sided simple closed curve c on S. Example. An example of a Dehn twist on the torus, along the closed curve a, in blue, where a is an edge of the fundamental polygon representing the torus.
WebDynamics of composite symplectic Dehn twists. Jinxin Xue (Tsinghua University) Wed Nov 16, 12:10-13:30 (5 weeks ago) Abstract: It is classically known in Nielson-Thurston theory that the mapping class group of a hyperbolic surface is generated by Dehn twists and most elements are pseudo Anosov. Pseudo Anosov elements are interesting … diane abbott interview played backWebSymplectic Form; Dehn Twist; Chern Number; Floer Homology; These keywords were added by machine and not by the authors. This process is experimental and the … citb directors roleWebDYNAMICS OF COMPOSITE SYMPLECTIC DEHN TWISTS WENMIN GONG, ZHIJING WENDY WANG, JINXIN XUE Abstract. This paper appears as the con uence of … citb doorways to constructionWebWe show that composite symplectic Dehn twists have certain form of nonuniform hyperbolicity that can be used to give positive topological entropy as well as two families … diane ackley new hampshirehttp://en.igp.ustc.edu.cn/2024/0217/c29595a592467/page.htm#:~:text=With%20the%20symplectic%20Dehn%20twists%20along%20Lagrangian%20spheres,laminitions%2C%20exponential%20growth%20of%20Floer%20homology%20group%2C%20etc. citb directors trainingWebinjective function of N. It implies that all odd powers of Dehn twists ˝N are distinct, and so are all powers of Dehn twists ˝N. Note that for nodd, the Brieskorn manifolds ( N;2;:::;2) are all non-di eomorphic. Furthermore, such Dehn twists can be constructed for any symplectic manifold containing a Lagrangian sphere. citb downloadWebKronheimer's argument: Small resolutions and Dehn twists. I want to amplify an expository argument I gave in a recent lecture which shows that the squared Dehn twist on a symplectic 4-manifold is smoothly isotopic to the identity map. This is an old argument of Kronheimer and I only managed to sketch it hurriedly in the lecture. diane aber twitter