Generalization of Weinstein's Morphism

Fuente: arXiv
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Main Author: Pedroza, Andrés
Format: Preprint
Published: 2023
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author Pedroza, Andrés
author_facet Pedroza, Andrés
contents We present a generalization of Weinstein's morphism defined on $π_{2k-1} ( \textup{Ham} (M,ω)) $. We use this morphism to show that for $n\geq 2$ the Lie group $SU(2)$ induces an element in $π_3(\textup{Ham} (\mathbb{C}P^n,ω_\textup{FS}))$ of infinite order.
format Preprint
id arxiv_https___arxiv_org_abs_2312_05091
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Generalization of Weinstein's Morphism
Pedroza, Andrés
Group Theory
Symplectic Geometry
57S05, 53D35
We present a generalization of Weinstein's morphism defined on $π_{2k-1} ( \textup{Ham} (M,ω)) $. We use this morphism to show that for $n\geq 2$ the Lie group $SU(2)$ induces an element in $π_3(\textup{Ham} (\mathbb{C}P^n,ω_\textup{FS}))$ of infinite order.
title Generalization of Weinstein's Morphism
topic Group Theory
Symplectic Geometry
57S05, 53D35
url https://arxiv.org/abs/2312.05091