Lagrangian intersections in contact geometry
type: Item
instance of: scholarly article
title: Lagrangian intersections in contact geometry
zbMATH Open document ID: 0844.58038
DOI: 10.1007/BF01895668
author: Dietmar A. Salamon
author: Yakov Eliashberg
author: Helmut Hofer
published in: Geometric and Functional Analysis. GAFA
publication date: 1996-08-29T00:00:00Z
full work available at URL: https://eudml.org/doc/58190
review text: In many situations dealing with contact geometry, a very attractive approach is to symplectize, thus gaining access to the quite smooth and very rich structure of symplectic geometry. As a rule however, the operation of symplectization results in a noncompact, nonconvex situation, making e.g. Floer homology in its standard form inapplicable. Using basically an idea from \textit{H. Hofer} [Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, preprint (1993)], this paper shows how to master this complication and then applies the resulting, modified, Floer homology to the Lagrange intersection problem.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 55N99
zbMATH DE Number: 815719
zbMATH Keywords: contact geometry
zbMATH Keywords: symplectization
zbMATH Keywords: Floer homology
zbMATH Keywords: Lagrange intersection
MaRDI profile type: Publication
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OpenAlex ID: W4245783882
description: scientific article; zbMATH DE number 815719