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Book Synopsis
A systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. Peculiarly, these systems' base spaces are still smooth manifolds, analogous to the toric case, but their associated integral affine structures are singular, with non-trivial monodromy, due to focus singularities.

Convexity of Singular Affine Structures and

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    A Paperback by Tudor S. Ratiu, Christophe Wacheux, Nguyen Tien Zung

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      Publisher: MP-AMM American Mathematical
      Publication Date: 7/31/2023 12:00:00 AM
      ISBN13: 9781470464394, 978-1470464394
      ISBN10: 147046439X

      Description

      Book Synopsis
      A systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. Peculiarly, these systems' base spaces are still smooth manifolds, analogous to the toric case, but their associated integral affine structures are singular, with non-trivial monodromy, due to focus singularities.

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