<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

    <em id="zlul0"></em>

      <dl id="zlul0"></dl>
        <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
        <em id="zlul0"></em>

        <div id="zlul0"><ol id="zlul0"></ol></div>

        Questions tagged [symplectic-topology]

        The tag has no usage guidance.

        Filter by
        Sorted by
        Tagged with
        1
        vote
        1answer
        39 views

        Lagrangian torus fibrations and Arnol'd-Liouville theorem

        Let $(X, \omega)$ be a closed symplectic manifold of dimension $2n$ and $\pi: X \rightarrow Q$ a Lagrangian torus fibration. Let $F_q$ denote the fiber at $q \in Q$. It is claimed in a paper of ...
        4
        votes
        1answer
        96 views

        Orientable surface bundle

        Is it true that every orientable surface bundle can be made into a symplectic fibration?If yes, why? What about the particular case that $M$ is a connected compact 4-manifold?
        2
        votes
        0answers
        70 views

        Compactly supported symplectomorphisms of $D^2$

        I'm trying to understand a more basic version about Gromov's theorem about the compactly supported symplectomorphisms of $D^2 \times D^2$ being contractible. Consider the dimensional disk $D^2 \...
        6
        votes
        0answers
        112 views

        Exponential decay of a $J$-holomorphic map on a long cylinder

        Suppose $(X,\omega,J)$ is a closed symplectic manifold with a compatible almost complex structure. The fact below follows from McDuff-Salamon's book on $J$-holomorphic curves (specifically, Lemma 4.7....
        1
        vote
        0answers
        111 views

        The norm squared of a moment map

        I am studying the paper by E. Lerman: https://arxiv.org/abs/math/0410568 Let $(M,\sigma)$ be a connected symplectic manifold with a Hamiltonian action of a compact Lie group $G$, so that there exist ...
        2
        votes
        1answer
        96 views

        Every symplectic submanifold is J-holomorphic

        I am trying to show that every symplectic submanifold $N$ of a 2n- dimensional symplectic manifold $(M,\omega)$ is J-holomorphic for some compatible almost complex structure $J$. The way I am ...
        1
        vote
        0answers
        38 views

        Invariance under tame almost complex structure of the fibre tangent space of the symplectic normal bundle

        I am trying to understand the construction of symplectic inflation and I am stuck in the following point. Suppose we have a 4 dimensional symplectic manifold $(M, \omega)$. Also suppose that $N \...
        3
        votes
        0answers
        136 views

        Legendrian surgery and invertible elements in zeroth degree symplectic cohomology

        Is there anything known about the relation between Legendrian handle attachment and invertible elements in $\mathit{SH}^0(M)$? As the simplest interesting case, take $M_0$ to be the cotangent bundle $...
        2
        votes
        0answers
        56 views

        What is the relation between the different generating functions thought as finite approximations of action functionals

        In the book Introduction to symplectic topology by MC Duff and Salamon, a discrete analogue of the action functional is defined on $\mathbb{R}^{2n}$. The idea is that a Hamiltonian isotopy can be ...
        3
        votes
        0answers
        104 views

        Mixed characteristic in symplectic geometry

        Are there any mixed-characteristic phenomena in symplectic geometry/mirror symmetry? There are papers on symplectic geometry by Abouzaid (inspired by Kontsevich--Soibelman, I believe) in which there ...
        5
        votes
        1answer
        246 views

        Relationship between Gromov-Witten and Taubes' Gromov invariant

        Fix a compact, symplectic four-manifold ($X$, $\omega$). Recall Taubes' Gromov invariant is a certain integer-valued function on $H^2(X; \mathbb{Z})$ defined by weighted counts of pseudoholomorphic ...
        13
        votes
        2answers
        742 views

        Does Fukaya see all symplectic topology?

        I recently had a debate with my friend about how much of symplectic topology is about Fukaya category. I thought that for the most part, symplectic topology is not about Fukaya category. Now, to prove ...
        6
        votes
        0answers
        91 views

        Maslov index of pair of paths in $\mathcal{L}(2n)$ and its relation with the Maslov index of a loop in $\mathcal{L}(2n)$

        I'm reading [RS] and I was wondering what kind of connection there is between the Maslov index for a pair of paths $\lambda_0,\lambda_1 \colon [a,b] \to \mathcal{L}(2n)$ as defined in [RS] and the ...
        5
        votes
        0answers
        87 views

        A clarification in the definition of Seidel's absolute Maslov index for a pair of transverse Lagrangians

        I'm reading Seidel's paper Graded Lagrangian submanifolds where he introduces the absolute Maslov index of a pair of graded lagrangians as follows: Let $\mathcal{L}(V,\beta)$ be the Lagrangian ...
        3
        votes
        2answers
        172 views

        Symplectic vector fields everywhere transverse to a co-dimension one hypersurface

        Usually when speaking about vector fields transverse to a hypersurface in a symplectic manifold, we talk about Liouville vector fields, i.e. vector fields $X$ with the property that $\mathcal{L}_X\...

        15 30 50 per page
        山西福彩快乐十分钟
          <em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

          <em id="zlul0"></em>

            <dl id="zlul0"></dl>
              <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
              <em id="zlul0"></em>

              <div id="zlul0"><ol id="zlul0"></ol></div>
                <em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

                <em id="zlul0"></em>

                  <dl id="zlul0"></dl>
                    <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
                    <em id="zlul0"></em>

                    <div id="zlul0"><ol id="zlul0"></ol></div>
                    功夫派卖金龙珠 英超伯恩利vs南安普敦 海南飞鱼彩票官网 足球博彩论坛 幸运熊猫刷水方案 川崎前锋vs悉尼Fc 2345传奇霸业手机版本 塞班手机水果老虎机 塔什干火车头vs艾尔维达 广西快三开奖网址