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arxiv: 1609.04776 · v2 · pith:VMLCO65Knew · submitted 2016-09-15 · 🧮 math.SG · math.GT

The number of Hamiltonian fixed points on symplectically aspherical manifolds

classification 🧮 math.SG math.GT
keywords asphericalfixedhamiltoniannumberpointssymplecticallyarnoldclosed
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We show that a generic Hamiltonian diffeomorphism on a closed symplectic manifold which is symplectically aspherical has at least the stable Morse number of fixed points - this is in line with a conjecture by Arnold.

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