uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Morse flow trees and Legendrian contact homology in 1-jet spaces
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. (Matematik 1-5)
2007 (English)In: Geometry and Topology, ISSN 1465-3060, E-ISSN 1364-0380, Vol. 11, no 2, 1083-1224 p.Article in journal (Refereed) Published
Abstract [en]

Let L ⊂ J1(M) be a Legendrian submanifold of the 1–jet space of a Riemannian n–manifold M. A correspondence is established between rigid flow trees in M determined by L and boundary punctured rigid pseudo-holomorphic disks in T*M, with boundary on the projection of L and asymptotic to the double points of this projection at punctures, provided n≤2, or provided n>2 and the front of L has only cusp edge singularities. This result, in particular, shows how to compute the Legendrian contact homology of L in terms of Morse theory.

Place, publisher, year, edition, pages
2007. Vol. 11, no 2, 1083-1224 p.
Keyword [en]
holomorphic disk, Morse theory, flow tree, contact homology, Legendrian, Lagrangian
National Category
URN: urn:nbn:se:uu:diva-12613DOI: 10.2140/gt.2007.11.1083ISI: 000253770500022OAI: oai:DiVA.org:uu-12613DiVA: diva2:40382
Available from: 2008-01-08 Created: 2008-01-08 Last updated: 2010-05-17Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full texthttp://www.msp.warwick.ac.uk/gt/2007/11/p022.xhtml

Search in DiVA

By author/editor
Ekholm, Tobias
By organisation
Department of Mathematics
In the same journal
Geometry and Topology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 225 hits
ReferencesLink to record
Permanent link

Direct link