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
Constructing exact Lagrangian immersions with few double points
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Geometric and Functional Analysis, ISSN 1016-443X, E-ISSN 1420-8970, Vol. 23, no 6, 1772-1803 p.Article in journal (Refereed) Published
Abstract [en]

We establish, as an application of the results from Eliashberg and Murphy (Lagrangian caps,2013), an h-principle for exact Lagrangian immersions with transverse self-intersections and the minimal, or near-minimal number of double points. One corollary of our result is that any orientable closed 3-manifold admits an exact Lagrangian immersion into standard symplectic 6-space with exactly one transverse double point. Our construction also yields a Lagrangian embedding S1×S2→R6 with vanishing Maslov class.

Place, publisher, year, edition, pages
2013. Vol. 23, no 6, 1772-1803 p.
National Category
Geometry
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-211810DOI: 10.1007/s00039-013-0243-6ISI: 000328206000003OAI: oai:DiVA.org:uu-211810DiVA: diva2:669173
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council, 2012-2365
Available from: 2013-12-03 Created: 2013-12-02 Last updated: 2017-12-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full texthttp://dx.doi.org/10.1007/s00039-013-0243-6

Authority records BETA

Ekholm, Tobias

Search in DiVA

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

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 372 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