@article{94f24ec5d3184f81bb90f398b3fc7403,
title = "Conformal symplectic geometry of cotangent bundles",
abstract = "We prove a version of the Arnol{\textquoteright}d conjecture for Lagrangian submanifolds of conformal symplectic manifolds: a Lagrangian L which has non-zero Morse-Novikov homology for the restriction of the Lee form β cannot be disjoined from itself by a C0-small Hamiltonian isotopy. Furthermore for generic such isotopies the number of intersection points equals at least the sum of the free Betti numbers of the Morse-Novikov homology of β. We also give a short exposition of conformal symplectic geometry, aimed at readers who are familiar with (standard) symplectic or contact geometry.",
author = "Baptiste Chantraine and Emmy Murphy",
note = "Funding Information: The authors thank Vestislav Apostolov and Franc¸ois Laudenbach for inspiring discussions. The first author benefited from the hospitality of several institutions and wishes to thank the institute Mittag-Leffler in Stockholm, CIRGET in Montr{\'e}al and MIT in Cambridge for the nice work environment they provided. The second author would like to thank Universit{\'e}de Nantes and the Radcliffe Institute for Advanced Study for their pleasant work environments. B. Chantraine is partially supported by the ANR project COSPIN (ANR-13-JS01-0008-01) and the ERC starting grant G{\'e}odycon. E. Murphy is partially supported by NSF grant DMS-1510305 and a Sloan Research Fellowship. Publisher Copyright: {\textcopyright} 2019, International Press of Boston, Inc.. All rights reserved.",
year = "2019",
doi = "10.4310/JSG.2019.v17.n3.a2",
language = "English (US)",
volume = "17",
pages = "639--661",
journal = "Journal of Symplectic Geometry",
issn = "1527-5256",
publisher = "International Press of Boston, Inc.",
number = "3",
}