On the rank of π1(Ham)

Pedroza, Andrés

doi:10.2140/agt.2022.22.1325

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On the rank of $\pi_1(\mathrm{Ham})$

Andrés Pedroza

Algebraic & Geometric Topology 22 (2022) 1325–1336

DOI: 10.2140/agt.2022.22.1325

Abstract

We show that for any positive integer $k$ there exists a closed symplectic $4$ –manifold such that the rank of the fundamental group of the group of Hamiltonian diffeomorphisms is at least $k$ .

Keywords

Hamiltonian group of diffeomorphisms, Weinstein functional

Mathematical Subject Classification

Primary: 53D35, 57S05

References

Publication

Received: 26 August 2020

Revised: 22 March 2021

Accepted: 18 April 2021

Published: 25 August 2022

Authors

Andrés Pedroza
Facultad de Ciencias Universidad de Colima Colima Mexico

Volume 22, issue 3 (2022)