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Article overview
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Another look at the Hofer-Zehnder conjecture | Erman Cineli
; Viktor L. Ginzburg
; Basak Z. Gurel
; | Date: |
28 Sep 2020 | 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. 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. | Source: | arXiv, 2009.13052 | Services: | Forum | Review | PDF | Favorites |
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