Screen LibraryLectures on Lagrangian torus fibrations /
"This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suitable for graduate students and researchers in...
Saved in:
| Main Authors: | |
|---|---|
| Published: |
Cambridge University Press,
|
| Publisher Address: | Cambridge, United Kingdom : |
| Publication Dates: | 2023. |
| Literature type: | Book |
| Language: | English |
| Series: |
London Mathematical Society student texts ;
105 |
| Subjects: | |
| Summary: |
"This book explains how to use simple 2-dimensional pictures to understand the geometry and topology of 4-dimensional spaces. These spaces are of relevance in Hamiltonian dynamics, in algebraic geometry, and in mathematical string theory. It is suitable for graduate students and researchers in geometry and topology"-- |
| Carrier Form: | xiii, 225 pages : illustrations ; 23 cm. |
| Bibliography: | Includes bibliographical references (pages 213-219) and index. |
| ISBN: |
9781009372633 1009372637 9781009372626 1009372629 |
| Index Number: | QA613 |
| CLC: |
O186.1 O189.3 |
| Call Number: | O189.3/E927 |
| Contents: | the Arnold-Liouville theorem -- Lagrangian fibrations -- Global action-angle coordinates and torus actions -- Symplectic reduction -- Visible Lagrangian submanifolds -- Focus-focus singularities -- Examples of focus-focus systems -- Almost toric manifolds -- Surgery -- Elliptic and cusp singularities. |