Dylan Cant

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Equivariant Lagrangian displacements

Dylan Cant, Julio Sampietro Christ

10-2025. Accepté dans Quant. Topol.

Résumé:

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 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.

Liens:

• PDF
• arXiv:2510.20756
• BibTeX

  @unpublished{eq-lag-displace,
    author        = {Dylan Cant and Sampietro Christ, Julio},
    title         = {Equivariant {Lagrangian} displacements},
    note          = {To appear in Quant. Topol.},
    year          = {2025},
    eprint        = {2510.20756},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }