Constructing exact Lagrangian immersions with few double points
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
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.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:uu:diva-211810DOI: 10.1007/s00039-013-0243-6ISI: 000328206000003OAI: oai:DiVA.org:uu-211810DiVA: diva2:669173
FunderKnut and Alice Wallenberg FoundationSwedish Research Council, 2012-2365