Conley Conjecture for Negative Monotone Symplectic Manifolds

2010/11/23 by Viktor L. Ginzburg, Ginzburg, Viktor L., Başak Z. Gürel +2 · 1 citation
Mathematics · Physics and Astronomy · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #math.SG #msc:37J10 #msc:53D40

paper · pdf · doi:10.48550/arxiv.1011.5018

15 pages

arxiv created 2010/11/23 · arxiv updated 2010/11/24

Abstract

We prove the Conley conjecture for negative monotone, closed symplectic manifolds, i.e., the existence of infinitely many periodic orbits for Hamiltonian diffeomorphisms of such manifolds.

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