The symplectic cohomology of magnetic cotangent bundles

Yoel Groman*, Will J. Merry

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct a family version of symplectic Floer cohomology for magnetic cotangent bundles, without any restrictions on the magnetic form, using the dissipative method for compactness introduced by Groman (2023). As an application, we deduce that if N is a closed orientable manifold and σ is a magnetic form that is not weakly exact, then the π1-sensitive Hofer-Zehnder capacity of any compact set in the magnetic cotangent bundle determined by σ is finite.

Original languageAmerican English
Pages (from-to)365-424
Number of pages60
JournalCommentarii Mathematici Helvetici
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 Swiss Mathematical Society.


  • family Floer theory
  • Hofer-Zehnder capacity
  • Twisted symplectic cohomology


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