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

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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
Mathematics
Identifiers
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: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

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

Authority records BETA

Ekholm, Tobias

Search in DiVA

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

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 446 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf