Lagrangian Surfaces in a Fixed Homology Class: Existence of Knotted Lagrangian Tori

Stefano Vidussi

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Lagrangian Surfaces in a Fixed Homology Class: Existence of Knotted Lagrangian Tori

Stefano Vidussi

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Abstract

In this paper we show that there exist simply connected symplectic 4-manifolds which contain infinitely many knotted lagrangian tori, i.e. lagrangian embeddings of tori that are homotopic but not isotopic. Moreover, the homology class they represent can be assumed to be nontrivial and primitive. This answers a question of Eliashberg and Polterovich.

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BibTeX RIS

Stefano Vidussi. 2006-11-14. Lagrangian Surfaces in a Fixed Homology Class: Existence of Knotted Lagrangian Tori. https://arxiv.org/abs/math/0311174

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