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Symplectic Topology and Measure Preserving Dynamical Systems
 
Edited by: Albert Fathi École Normale Supérieure de Lyon, Lyon, France
Yong-Geun Oh University of Wisconsin, Madison, WI
Claude Viterbo École Polytechnique, Palaiseau, France
Symplectic Topology and Measure Preserving Dynamical Systems
Softcover ISBN:  978-0-8218-4892-0
Product Code:  CONM/512
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8191-0
Product Code:  CONM/512.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4892-0
eBook: ISBN:  978-0-8218-8191-0
Product Code:  CONM/512.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Symplectic Topology and Measure Preserving Dynamical Systems
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Symplectic Topology and Measure Preserving Dynamical Systems
Edited by: Albert Fathi École Normale Supérieure de Lyon, Lyon, France
Yong-Geun Oh University of Wisconsin, Madison, WI
Claude Viterbo École Polytechnique, Palaiseau, France
Softcover ISBN:  978-0-8218-4892-0
Product Code:  CONM/512
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8191-0
Product Code:  CONM/512.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4892-0
eBook ISBN:  978-0-8218-8191-0
Product Code:  CONM/512.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5122010; 177 pp
    MSC: Primary 57; 37; 28

    The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference on Symplectic Topology and Measure Preserving Dynamical Systems held in Snowbird, Utah in July 2007.

    The aim of the conference was to bring together specialists of symplectic topology and of measure preserving dynamics to try to connect these two subjects. One of the motivating conjectures at the interface of these two fields is the question of whether the group of area preserving homeomorphisms of the 2-disc is or is not simple. For diffeomorphisms it was known that the kernel of the Calabi invariant is a normal proper subgroup, so the group of area preserving diffeomorphisms is not simple. Most articles are related to understanding these and related questions in the framework of modern symplectic topology.

    Readership

    Graduate students and research mathematicians interested in symplectic topology and dynamical systems.

  • Table of Contents
     
     
    • Articles
    • Augustin Banyaga — A Hofer-like metric on the group of symplectic diffeomorphisms [ MR 2605311 ]
    • Michael Entov and Leonid Polterovich — $C^0$-rigidity of Poisson brackets [ MR 2605312 ]
    • Frédéric Le Roux — Six questions, a proposition and two pictures on Hofer distance for Hamiltonian diffeomorphisms on surfaces [ MR 2605313 ]
    • John N. Mather — Order structure on action minimizing orbits [ MR 2605314 ]
    • Dusa McDuff — Loops in the Hamiltonian group: a survey [ MR 2605315 ]
    • Yong-Geun Oh — The group of Hamiltonian homeomorphisms and continuous Hamiltonian flows [ MR 2605316 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5122010; 177 pp
MSC: Primary 57; 37; 28

The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference on Symplectic Topology and Measure Preserving Dynamical Systems held in Snowbird, Utah in July 2007.

The aim of the conference was to bring together specialists of symplectic topology and of measure preserving dynamics to try to connect these two subjects. One of the motivating conjectures at the interface of these two fields is the question of whether the group of area preserving homeomorphisms of the 2-disc is or is not simple. For diffeomorphisms it was known that the kernel of the Calabi invariant is a normal proper subgroup, so the group of area preserving diffeomorphisms is not simple. Most articles are related to understanding these and related questions in the framework of modern symplectic topology.

Readership

Graduate students and research mathematicians interested in symplectic topology and dynamical systems.

  • Articles
  • Augustin Banyaga — A Hofer-like metric on the group of symplectic diffeomorphisms [ MR 2605311 ]
  • Michael Entov and Leonid Polterovich — $C^0$-rigidity of Poisson brackets [ MR 2605312 ]
  • Frédéric Le Roux — Six questions, a proposition and two pictures on Hofer distance for Hamiltonian diffeomorphisms on surfaces [ MR 2605313 ]
  • John N. Mather — Order structure on action minimizing orbits [ MR 2605314 ]
  • Dusa McDuff — Loops in the Hamiltonian group: a survey [ MR 2605315 ]
  • Yong-Geun Oh — The group of Hamiltonian homeomorphisms and continuous Hamiltonian flows [ MR 2605316 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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