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Bosonic Continuous Variable Quantum Computing Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation

Equivariant Lagrangian displacements

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Authors: Dylan Cant, Julio Sampietro Christ

Year

2026

Paper ID

51958

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

73

Citations

0

Abstract

This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map. The method of proof is to develop a Borel equivariant version of the quantum cohomology of Biran and Cornea and prove that it is sensitive to equivariant displacements. The Floer–Euler class of Biran and Khanevsky appears as a term in the equivariant differential in certain cases.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map.

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References & Citation Signals

[1] DOI https://doi.org/10.4171/qt/257 [2] Publisher https://doi.org/10.4171/qt/257

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-10-20 16:04:04

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