1. Spectral invariants for monotone Lagrangians.
- Author
-
Leclercq, Rémi and Zapolsky, Frol
- Subjects
MATHEMATICAL invariants ,LAGRANGE equations ,FLOER homology ,SYMPLECTIC manifolds ,GEOMETRIC rigidity - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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