Spectral invariants for monotone Lagrangians

Autor:	Leclercq, Rémi, Zapolsky, Frol
Rok vydání:	2015
Předmět:	Mathematics - Symplectic Geometry 57R17 (primary) 53D12 53D40 (secondary)
Druh dokumentu:	Working Paper
Popis:	Since spectral invariants were introduced in cotangent bundles via generating functions by Viterbo in the seminal paper "Symplectic topology as the geometry of generating functions," 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. Comment: 60 pages, added a relation to Hofer geometry; comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.07430 Zobrazit plný text záznamu View this record from Arxiv