Search Results - "Fish, Joel W"

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  1. 1

    Global Surfaces of Section in the Planar Restricted 3-Body Problem by Albers, Peter, Fish, Joel W., Frauenfelder, Urs, Hofer, Helmut, van Koert, Otto

    “…The restricted planar three-body problem has a rich history, yet many unanswered questions still remain. In the present paper we prove the existence of a…”
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    Journal Article
  2. 2

    Almost Existence From the Feral Perspective and Some Questions by Fish, Joel W, Hofer, Helmut

    Published 29-06-2020
    “…This paper is concerned with the "almost existence" phenomenon for periodic orbits of Hamiltonian dynamical systems. In particular, we recover this result in…”
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    Journal Article
  3. 3

    Feral Curves and Minimal Sets by Fish, Joel W, Hofer, Helmut

    Published 16-12-2018
    “…Here we prove that for each Hamiltonian function $H\in \mathcal{C}^\infty(\mathbb{R}^4, \mathbb{R})$ defined on the standard symplectic $(\mathbb{R}^4,…”
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    Journal Article
  4. 4

    Exhaustive Gromov compactness for pseudoholomorphic curves by Fish, Joel W, Hofer, Helmut

    Published 22-11-2018
    “…Here we extend the notion of target-local Gromov convergence of pseudoholomorphic curves to the case in which the target manifold is not compact, but rather is…”
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    Journal Article
  5. 5

    Lectures on Polyfolds and Symplectic Field Theory by Fish, Joel W, Hofer, Helmut

    Published 21-08-2018
    “…This is a lecture note prepared for the SFT 9 workshop in Augsburg, Germany. The text describes a polyfold approach to the construction of symplectic field…”
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    Journal Article
  6. 6

    Polyfold and SFT Notes II: Local-Local M-Polyfold Constructions by Fish, Joel W, Hofer, Helmut

    Published 14-08-2018
    “…Some early chapters of the upcoming book "Polyfold Constructions: Tools, Techniques, and Functors"…”
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    Journal Article
  7. 7

    Polyfold and SFT Notes I: A Primer on Polyfolds and Construction Tools by Fish, Joel W, Hofer, Helmut

    Published 18-06-2018
    “…Notes for the upcoming Workshop on Symplectic Field Theory IX, Polyfolds for SFT. These notes are essentially the first few chapters of a forthcoming book…”
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    Journal Article
  8. 8

    Connected sums and finite energy foliations I: Contact connected sums by Fish, Joel W, Siefring, Richard

    Published 17-11-2013
    “…Journal of Symplectic Geometry, 16(6):1639-1748, 2018 We consider a $3$-manifold $M$ equipped with nondegenerate contact form $\lambda$ and compatible almost…”
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    Journal Article
  9. 9

    Polyfolds: A First and Second Look by Fabert, Oliver, Fish, Joel W, Golovko, Roman, Wehrheim, Katrin

    Published 07-10-2016
    “…EMS Surv. Math. Sci. 3 (2016), 131-208 Polyfold theory was developed by Hofer-Wysocki-Zehnder by finding commonalities in the analytic framework for a variety…”
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    Journal Article
  10. 10

    Compactness results for pseudo-holomorphic curves by Fish, Joel W

    Published 01-01-2007
    “…Since their introduction by Gromov in 1985, pseudo-holomorphic curves have played an essential role in the study of symplectic topology. Also of substantial…”
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    Dissertation
  11. 11

    Target-local Gromov compactness by Fish, Joel W

    Published 05-05-2010
    “…Geom. Topol. 15 (2011) 765-826 We prove a version of Gromov's compactness theorem for pseudo-holomorphic curves which holds locally in the target symplectic…”
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    Journal Article
  12. 12

    Estimates for J-curves as submanifolds by Fish, Joel W

    Published 22-12-2009
    “…Here we develop some basic analytic tools to study compactness properties of $J$-curves (i.e. pseudo-holomorphic curves) when regarded as submanifolds…”
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    Journal Article
  13. 13

    Compactness results for pseudo-holomorphic curves by Fish, Joel W

    “…Since their introduction by Gromov in 1985, pseudo-holomorphic curves have played an essential role in the study of symplectic topology. Also of substantial…”
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    Dissertation
  14. 14

    The Conley-Zehnder indices of the rotating Kepler problem by Albers, Peter, Fish, Joel W, Frauenfelder, Urs, van Koert, Otto

    Published 10-01-2012
    “…Mathematical Proceedings of the Cambridge Philosophical Society, (2013), 243 - 260 We determine the Conley-Zehnder indices of all periodic orbits of the…”
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    Journal Article
  15. 15

    Global surfaces of section in the planar restricted 3-body problem by Albers, Peter, Fish, Joel W, Frauenfelder, Urs, Hofer, Helmut, van Koert, Otto

    Published 20-03-2011
    “…Archive for Rational Mechanics and Analysis, (2012), 273-284 The restricted planar three-body problem has a rich history, yet many unanswered questions still…”
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    Journal Article