Lagrangian non-intersections

By P. Biran. 2004

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Rigidity and uniruling for Lagrangian submanifolds (2008, methodology): “We refer the reader to [8] for more details on the subject.”
Bounds on spectral norms and barcodes (2018, background): “M. For each m2Z;the persistence module V m(L) is free. This proposition is due to Usher [114, Theorem 1.7 (ii)]. It can alternatively be rather quickly deduced from the Oh spectral sequence [80] (cf. [14, 17, 119], and [19, Appendix A]. 36 ASAF KISLEV AND EGOR SHELUKHIN 2.7. Piunikhin-Salamon-Schwar”
Rabinowitz Floer homology and symplectic homology (2009, background): “Let w = (x, η) : R→ L×R be a solution of (26) whose asymptotic limits x± are contained in V ∪(M× [1, 2)).”
Quantum Structures for Lagrangian Submanifolds (2007, methodology): “This can be easily proved by the techniques from [15].”
A FLOER HOMOLOGY FOR EXACT CONTACT EMBEDDINGS (2007, background): “8 implies (see [Biran 2006]) that an embedded Lagrangian sphere of dimension 4 in a cotangent bundle T Q must intersect every fibre.”
Floer homology on the universal cover, a proof of Audin's conjecture and other constraints on Lagrangian submanifolds (2010, background): “ of the Floer diﬀerential can be formalized in the existence of a spectral sequence which converges to the Floer homology HF(L) and whose ﬁrst page is built using the usual homology groups of L [35], [6]. The main idea of our paper is the following. Fix a covering space L¯ → L. Given a Morse functio”