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This article is available for purchase or by subscription. See below.
Abstract
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We show that for any positive integer
there exists a closed
symplectic
–manifold
such that the rank of the fundamental group of the group of Hamiltonian diffeomorphisms
is at least
.
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Keywords
Hamiltonian group of diffeomorphisms, Weinstein functional
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Mathematical Subject Classification
Primary: 53D35, 57S05
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Publication
Received: 26 August 2020
Revised: 22 March 2021
Accepted: 18 April 2021
Published: 25 August 2022
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