Spectral invariants for monotone Lagrangians

Rémi Leclercq, Frol Zapolsky

Research output: Contribution to journalArticlepeer-review


Since spectral invariants were introduced in cotangent bundles via generating functions by Viterbo in the seminal paper [73], they have been defined in various contexts, mainly via Floer homology theories, and then used in a great variety of applications. In this paper we extend their definition to monotone Lagrangians, which is so far the most general case for which a "classical" Floer theory has been developed. Then, we gather and prove the properties satisfied by these invariants, and which are crucial for their applications. Finally, as a demonstration, we apply these new invariants to symplectic rigidity of some specific monotone Lagrangians.

Original languageEnglish
Pages (from-to)627-700
Number of pages74
JournalJournal of Topology and Analysis
Issue number3
StatePublished - 1 Sep 2018

Bibliographical note

Publisher Copyright:
© 2018 World Scientific Publishing Company.


  • Lagrangian Floer homology
  • Symplectic manifolds
  • monotone Lagrangian submanifolds
  • quantum homology
  • spectral invariants

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology


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