2024
DOI: 10.1007/s11784-024-01105-y
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The Arnold conjecture for singular symplectic manifolds

Joaquim Brugués,
Eva Miranda,
Cédric Oms

Abstract: In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of $$b^m$$ b m -symplectic manifolds. Novel techniques are introduced to associate smooth symplectic forms to the original singular symplectic structure, under some mild conditions. These techniques yield the validity of the Arnold conjecture for singular symplectic manifolds across mu… Show more

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