Jonny Evans

Lectures on Lagrangian Torus Fibrations (eBook, PDF)

• Format: PDF

Produktbeschreibung

Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 20. Juli 2023
• Englisch
• ISBN-13: 9781009372664
• Artikelnr.: 70910801

Autorenporträt

Jonny Evans is Reader in Pure Mathematics at Lancaster University. He is a geometer, and in 2021 he was awarded an LMS Whitehead Prize for his work on symplectic geometry and singularities.

Inhaltsangabe

1. The Arnold-Liouville theorem
2. Lagrangian fibrations
3. Global action-angle coordinates and torus actions
4. Symplectic reduction
5. Visible Lagrangian submanifolds
6. Focus-focus singularities
7. Examples of focus-focus systems
8. Almost toric manifolds
9. Surgery
10. Elliptic and cusp singularities
A. Symplectic linear algebra
B. Lie derivatives
C. Complex projective spaces
D. Cotangent bundles
E. Moser's argument
F. Toric varieties revisited
G. Visible contact hypersurfaces and Reeb flows
H. Tropical Lagrangian submanifolds
I. Markov triples
J. Open problems
References
Index.