Lagrangian submanifolds and Lefschetz pencils.

Impacto

Downloads

Downloads per month over past year



Auroux, Denis and Muñoz, Vicente and Presas, Francisco (2005) Lagrangian submanifolds and Lefschetz pencils. Journal of Symplectic Geometry, 3 (2). pp. 171-219. ISSN 1527-5256

[thumbnail of VMuñoz44.pdf] PDF
Restringido a Repository staff only

622kB
[thumbnail of VMuñoz44libre.pdf]
Preview
PDF
510kB

Official URL: http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.jsg/1144947795




Abstract

Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold. From this construction,we define a sequence of symplectic invariants classifying the isotopy classes of Lagrangian spheres in a symplectic 4-manifold.


Item Type:Article
Uncontrolled Keywords:Symplectic; Lefschetz pencil; Lagrangian submanifold
Subjects:Sciences > Mathematics > Geometry
ID Code:21115
Deposited On:29 Apr 2013 16:18
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page