Spectral invariants for monotone Lagrangians - Laboratoire de Mathématiques d'Orsay
Article Dans Une Revue Journal of Topology and Analysis Année : 2018

Spectral invariants for monotone Lagrangians

Résumé

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.
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Dates et versions

hal-04840700 , version 1 (16-12-2024)

Identifiants

Citer

Rémi Leclercq, Frol Zapolsky. Spectral invariants for monotone Lagrangians. Journal of Topology and Analysis, 2018, 10 (03), pp.627-700. ⟨10.1142/S1793525318500267⟩. ⟨hal-04840700⟩
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