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Image of - Hamiltonian Group Actions And Equivariant Cohomology | Paperback
Hamiltonian Group Actions And Equivariant Cohomology | Paperback

Hamiltonian Group Actions And Equivariant Cohomology | Paperback

by Dwivedi S.

This monograph could be used for a graduate course on symplectic geometry as well as for independent study.The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.

Highlights

  • binding-icon

    9783030272265

    ISBN

  • binding-icon

    Dwivedi S.

    Author

  • binding-icon

    132

    Pages

  • binding-icon

    239 gm

    Weight

  • langauage-icon

    English

    Language

  • date-icon

    2019

    Year

  • edition-icon

    1st Edition

    Edition

  • binding-icon

    Paperback

    Binding

₹5910

₹6567

This monograph could be used for a graduate course on symplectic geometry as well as for independent study.The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.

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