Notes on monotone Lagrangian twist tori

201060 citationsJournal Articlebronze Open Access

Authors

Felix Schlenk · Moscow Center For Continuous Mathematical Education

Yuri Chekanov · Moscow Center For Continuous Mathematical Education

Abstract

We construct monotone Lagrangian toriin the standard symplectic vector space,in the complex projective space and in products of spheres.We explain how to classify these Lagrangian toriup to symplectomorphism and Hamiltonian isotopy,and how to show that they are not displaceable by Hamiltonian isotopies.

Topics & Keywords

Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology Advanced Algebra and Geometry

Publication Details

Published in: Electronic Research Announcements

Volume 17, Issue 0, pp. 104-121

DOI: 10.3934/era.2010.17.104

Field-Weighted Citation Impact: 3.41

Command Palette

Notes on monotone Lagrangian twist tori

Authors

Abstract

Topics & Keywords

Publication Details