On the dynamics characterization of complex projective spaces

Banik, Mita

doi:10.1007/s11784-020-0760-5

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Introduction and Main Results1

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2020

2022

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Cited by 3 publications

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“…In the Hamiltonian setting they are sometimes referred to as pseudo-rotations. Recently, symplectic topological methods have been employed to study the dynamics of pseudo-rotations and its connections with symplectic topological properties of the underlying manifold in all dimensions; see [AS,Ban,Br15b,Br15a,ÇGG19,ÇGG20,GG18a,LRS,Sh19b,Sh19c].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Another look at the Hofer-Zehnder conjecture

Çineli¹,

Ginzburg²,

Gürel³

2020

Preprint

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We give a different and simpler proof of a slightly modified (and weaker) variant of a recent theorem of Shelukhin extending Franks' "two-orinfinitely-many" theorem to Hamiltonian diffeomorphisms in higher dimensions and establishing a sufficiently general case of the Hofer-Zehnder conjecture. A few ingredients of our proof are common with Shelukhin's original argument, the key of which is Seidel's equivariant pair-of-pants product, but the new proof highlights a different aspect of the periodic orbit dynamics of Hamiltonian diffeomorphisms.

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