Families of monotone symplectic manifolds constructed via symplectic cut and their Lagrangian submanifolds

Gadbled, Agnes

doi:10.2140/agt.2011.11.2319

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Families of monotone symplectic manifolds constructed via symplectic cut and their Lagrangian submanifolds

Agnes Gadbled

Algebraic & Geometric Topology 11 (2011) 2319–2368

DOI: 10.2140/agt.2011.11.2319

Abstract

We describe families of monotone symplectic manifolds constructed via the symplectic cutting procedure of Lerman [Math. Res. Lett. 2 (1995) 247–258] from the cotangent bundle of manifolds endowed with a free circle action. We also give obstructions to the monotone Lagrangian embedding of some compact manifolds in these symplectic manifolds.

Keywords

monotone symplectic manifold, monotone Lagrangian submanifold, symplectic cut, Floer homology, Maslov index

Mathematical Subject Classification 2000

Primary: 53D05, 53D12

Secondary: 53D20, 53D40

References

Publication

Received: 5 March 2010

Accepted: 29 January 2011

Published: 5 September 2011

Authors

Agnes Gadbled
Department of Pure Mathematics and Mathematical Statistics University of Cambridge Wilberforce Road Cambridge CB3 0WB UK
http://www.dpmms.cam.ac.uk/~ag663/

Volume 11, issue 4 (2011)