V Bosshard - Journal of Topology and Analysis, 2024 - World Scientific
Floer theory for Lagrangian cobordisms was developed by Biran and Cornea in a series of papers [Lagrangian cobordism. I, J. Amer. Math. Soc. 26 (2013) 295–340; Lagrangian …
A Keating - Mathematische Annalen, 2021 - Springer
We present techniques, inspired by monodromy considerations, for constructing compact monotone Lagrangians in certain affine hypersurfaces, chiefly of Brieskorn–Pham type. We …
In this paper we consider the problem of packing a symplectic manifold with integral Lagrangian tori, that is Lagrangian tori whose area homomorphsims take only integer …
S Chanda, A Hirschi, L Wang - Journal of Fixed Point Theory and …, 2024 - Springer
Abstract In de Velloso Vianna (J Topol 9 (2): 535-551, 2016), Vianna constructed infinitely many exotic Lagrangian tori in P 2. We lift these tori to higher dimensional projective spaces …
L Polterovich, F Schlenk - arXiv preprint arXiv:2406.15967, 2024 - arxiv.org
In this essay dedicated to Yakov Eliashberg we survey the current state of the field of Lagrangian (un) knots, reviewing some constructions and obstructions along with a number …
We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone S^ 2 * S^ 2 S 2× S 2, namely any real Lagrangian torus in S^ 2 * S^ 2 S 2× S 2 is Hamiltonian isotopic to …
J Kim - International Mathematics Research Notices, 2021 - academic.oup.com
We prove that a real Lagrangian submanifold in a closed symplectic manifold is unique up to cobordism. We then discuss the classification of real Lagrangians in and. In particular, we …
M Entov, Y Ganor, C Membrez - Commentarii Mathematici Helvetici, 2018 - ems.press
We study two related invariants of Lagrangian submanifolds in symplectic manifolds. For a Lagrangian torus these invariants are functions on the first cohomology of the torus. The first …
In this thesis, we study the topology of relatively exact Lagrangian submanifolds. One of our main goals is to study their generalised cohomology, extending known results about their …