Another look at the Hofer-Zehnder conjecture

Erman Çineli (), Viktor L. Ginzburg () and Başak Z. Gürel ()
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Erman Çineli: UC Santa Cruz, Department of Mathematics
Viktor L. Ginzburg: UC Santa Cruz, Department of Mathematics
Başak Z. Gürel: University of Central Florida, Department of Mathematics

A chapter in Symplectic Geometry, 2022, pp 251-274 from Springer

Abstract: Abstract We give a different and simpler proof of a slightly modified (and weaker) variant of a recent theorem of Shelukhin extending Franks’ “two-or-infinitely-many” theorem to Hamiltonian diffeomorphisms in higher dimensions and establishing a sufficiently general case of the Hofer–Zehnder conjecture.

Keywords: Periodic orbits; Hamiltonian diffeomorphisms; Frank’s theorem; equivariant Floer cohomology; pseudo-rotations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19111-4_12

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DOI: 10.1007/978-3-031-19111-4_12

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