Journal of Differential Geometry

Lagrangian surfaces in a fixed homology class: existence of knotted Lagrangian tori

Stefano Vidussi

Abstract

In this paper we show that there exist simply connected symplectic manifolds which contain infinitely many knotted lagrangian tori, i.e., nonisotopic lagrangian tori that are image of homotopic embeddings. Moreover, the homology class they represent can be assumed to be nontrivial and primitive. This answers a question of Eliashberg and Polterovich.

Article information

Source
J. Differential Geom., Volume 74, Number 3 (2006), 507-522.

Dates
First available in Project Euclid: 30 March 2007

https://projecteuclid.org/euclid.jdg/1175266235

Digital Object Identifier
doi:10.4310/jdg/1175266235

Mathematical Reviews number (MathSciNet)
MR2269786

Zentralblatt MATH identifier
1105.53061

Citation

Vidussi, Stefano. Lagrangian surfaces in a fixed homology class: existence of knotted Lagrangian tori. J. Differential Geom. 74 (2006), no. 3, 507--522. doi:10.4310/jdg/1175266235. https://projecteuclid.org/euclid.jdg/1175266235