Invariant Finsler metrics on the space of Lagrangian embeddings

54 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

LAGRANGIAN INTERSECTIONS AND THE SERRE SPECTRAL SEQUENCE (2004, background): “The inequality (6) is quite powerful: it implies that ∇(−,−) (which is easily seen to be symmetric and to satisfy the triangle inequality) is also non-degenerate thus reproving - when ω|π2(M,L) = 0 - a result of Chekanov [1].”
A COMPARISON OF HOFER'S METRICS ON HAMILTONIAN DIFFEOMORPHISMS AND LAGRANGIAN SUBMANIFOLDS (2002, background): “Hofer’s metric can be defined in a more general context of Lagrangian submanifolds (see [3]).”
Spectral invariants for monotone Lagrangians (2015, methodology): “to the weakly exact case [Lec08] and [MVZ12] where the Lagrangian spectral invariants only depend on time–1 objects). In a similar vein we formulate a relation with the Lagrangian Hofer distance (see [Che00]). Here we use a variant of this distance deﬁned on the universal cover of the space of Lagra”
Bounds on spectral norms and barcodes (2018, methodology): “(y; )];as in Section 4, and we leave its proof to the interested reader. Remark 44. We note, that xing an !-compatible almost complex structure J on M;and xing ~ = ~(J;L) we could, following Chekanov [30], prove the non-degeneracy of d L; ;extthat is implied by the rst part of that theorem by consid”