Fiber connectivity and bifurcation diagrams of almost toric integrable systems
2015
Abstract
We describe the bifurcation diagrams of almost toric integrable Hamiltonian systems on a four dimensional symplectic manifold M, not necessarily compact. We prove that, under a weak assumption, the connectivity of the fibers of the induced singular Lagrangian fibration M --> R-2 can be detected from the bifurcation diagram alone. In this case, it is possible to give a detailed description of the image of the fibration.
Details
Title
Fiber connectivity and bifurcation diagrams of almost toric integrable systems
Author(s)
Pelayo, Alvaro ; Ratiu, Tudor S. ; Ngoc, San Vu
Published in
Journal Of Symplectic Geometry
Pagination
44
Volume
13
Issue
2
Pages
343-386
Date
2015
Publisher
Somerville, Int Press Boston, Inc
ISSN
1527-5256
Keywords
Other identifier(s)
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Laboratories
CAG2
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAG2 - Chair of Algebraic Geometry (closed)
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2015-05-29