On Hamiltonian and contact isotopy liftings
Petr E. Pushkar
TL;DR
This paper constructs counterexamples demonstrating limitations in lifting properties of Hamiltonian and contact isotopies, challenging existing assumptions in symplectic and contact topology.
Contribution
It provides the first known counterexamples to certain lifting properties, revealing new complexities in Hamiltonian and contact isotopy theory.
Findings
Counterexamples to Hamiltonian isotopy lifting
Counterexamples to contact isotopy lifting
Implications for symplectic and contact topology
Abstract
We construct counterexamples to lifting properties of Hamiltonian and contact isotopies.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Geometric and Algebraic Topology · Advanced Algebra and Geometry