Middle-dimensional squeezing and non-squeezing behavior of symplectomorphisms
Alberto Abbondandolo, Slava Matveyev
TL;DR
This paper explores the behavior of symplectomorphisms concerning middle-dimensional squeezing and non-squeezing phenomena, extending Gromov's classical non-squeezing theorem to higher dimensions.
Contribution
It introduces a reformulation of Gromov's non-squeezing theorem and investigates its potential higher-dimensional generalizations.
Findings
Reformulation of Gromov's non-squeezing as an area-inequality
Discussion of higher-dimensional generalizations of squeezing behavior
Insights into symplectomorphism properties in middle dimensions
Abstract
After reformulating Gromov's non-squeezing theorem as an area-inequality, we discuss a seemingly natural higher dimensional generalization.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Homotopy and Cohomology in Algebraic Topology