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Saturday, August 1, 2020 | History

4 edition of topology of torus actions on symplectic manifolds found in the catalog.

topology of torus actions on symplectic manifolds

by MicheМЂle Audin

  • 197 Want to read
  • 27 Currently reading

Published by Birkhäuser in Basel, Boston .
Written in English

    Subjects:
  • Symplectic manifolds.,
  • Hamiltonian systems.

  • Edition Notes

    StatementMichèle Audin.
    SeriesProgress in mathematics ;, v. 93, Progress in mathematics (Boston, Mass.) ;, v. 93.
    Classifications
    LC ClassificationsQA641 .A797 1991
    The Physical Object
    Pagination181 p. :
    Number of Pages181
    ID Numbers
    Open LibraryOL2029380M
    ISBN 103764326026, 0817626026
    LC Control Number91006644

    Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. This is an extended second edition of "The Topology of Torus Actions on Symplectic Manifolds" published in this series in The material and references have been updated. Symplectic manifolds and Torus actions are investigated, with numerous examples of Torus actions, for instance on some moduli spaces. Although the book is still centered on convexity theorems, it .

    60 J.J. Duistermaat, A. Pelayo T-actions are called symplectic, and (M,σ,T)will be called a symplectic T- symplectic T-manifolds (M,σ,T)and (M,σ,T)are called isomor- phic if there exists a T-equivariant diffeomorphism from M onto M such that σ is equal to the pull-back ∗(σ) of σ by the mapping. A well studied type of symplectic torus actions are the so called . structures, on symplectic 4-manifolds equipped with 2-dimensional torus actions. A symplectic form on a compact manifold Mis a closed, non-degenerate two-form σ∈ Ω2(M). In this case, (M,σ) is called a symplectic manifold. If Tis a torus, a T-action on Mis symplectic if it preserves σ. We will prove: Theorem Cited by: 7.

      Floer Homology for 3-Manifolds with Boundary (K Fukaya) One Approach for Witten's Invariants in Chern–Simons Gauge Theory (T Gocho) The Moduli of Anti-Self-Dual Conformal Structures (M Itoh) Torus Actions and the Topology and Symplectic Geometry of Flat Connections on 2-Manifolds (L Jeffrey & J Weitsman). Staneley–Reisner rings, torus actions, toric varieties, quasitoric manifolds, moment-angle complexes, subspace arrangements Abstract. The aim of this book is to present torus actions as a connecting bridge between combinatorial and convex geometry on one side, and commutative and homological algebra, algebraic geometry and topology on the other.


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Topology of torus actions on symplectic manifolds by MicheМЂle Audin Download PDF EPUB FB2

The Topology of Torus Actions on Topology of torus actions on symplectic manifolds book Manifolds. Authors (view affiliations) Michèle Audin; Book. 70 Citations; 1 Mentions; Smooth Lie group actions on manifolds.

Michèle Audin. Pages Symplectic geometry. Algebraic topology Blowing up Dimension Lie group Torus manifolds manifold symplectic geometry topology. Authors and. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity theorems, it contains much more results, proofs and examples.

Chapter I deals with Lie group actions on manifolds. In Chapters II and III, symplectic geometry and Cited by: The book is nicely written, and is a good reference book. By including detailed proofs, illuminating examples and figures, and numerous exercises, the author has made this book a suitable text for a graduate course, especially one centered on Hamiltonian torus actions and their applications.”(MATHEMATICAL REVIEWS)Brand: Birkhäuser Basel.

The book is nicely written, and is a good reference book. By including detailed proofs, illuminating examples and figures, and numerous exercises, the author has made this book a suitable text for a graduate course, especially one centered on Hamiltonian torus actions and their applications.”(MATHEMATICAL REVIEWS)Cited by: Get this from a library.

The topology of torus actions on symplectic manifolds. [Michèle Audin] -- This book 'COmes from a course I gave in Strasbourg in In the audience were in particular Julien Duval, Santiago Lopez de Medrano and.

Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains more theorems, more (and better) proofs, more exercises, and many figures.

The Topology of Torus Actions on Symplectic Manifolds PDF Download. Download free ebook of The Topology of Torus Actions on Symplectic Manifolds in PDF format or read online by Michèle Audin Published on by Birkhauser.

This is an extended second edition of |The Topology of Torus Actions on Symplectic Manifolds| published in this series in. How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14]. I have hesitated quite a long time before deciding to do the re-writing work-the first editi Torus Actions on Symplectic Manifolds.

Authors (view affiliations) Michèle Audin; Book. 60 Citations; Algebraic topology Lie group Torus. The book is nicely written, and is a good reference book. By including detailed proofs, illuminating examples and figures, and numerous exercises, the author has made this book a suitable text for a graduate course, especially one centered on Hamiltonian torus actions and their applications.”(MATHEMATICAL REVIEWS).

Topology of torus actions on symplectic manifolds. Basel ; Boston: Birkhäuser, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Michèle Audin. Torus Actions on Symplectic Manifolds Among the group actions torus group action is of special interest.

The momentum map of an effective Hamiltonian torus action on a symplectic manifold of the dimension double that of the torus is an integrable system. So Hamiltonian actions of tori of maximal dimension are a special case of integrable Size: KB. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces.

Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.

Buy Torus Actions on Symplectic Manifolds (Progress in Mathematics) Softcover reprint of the original 2nd ed. by Michele Audin (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.

Math Notes, Princeton University Press, Princeton () Topology of symplectic torus actions with symplectic orbits 81 Kogan, M.: On completely integrable systems with local torus actions. Toric manifolds -- VIII. Hamiltonian circle actions on manifolds of dimension 4 This is an extended second edition of "The Topology of Torus Actions on Symplectic Manifolds" published in this series in The material and references have been updated.

Symplectic manifolds and torus actions are investigated, with numerous examples of torus. Some of these developments were brand new when the book was first published in and are briefly discussed in the appendices). In addition to the notes by Cannas da Silva mentioned by Dick Palais, here are further two advanced books covering somewhat different territory: Michèle Audin, Torus actions on symplectic manifolds (2nd edition) A.

Staneley{Reisner rings, torus actions, toric varieties, quasitoric manifolds, moment-angle complexes, subspace arrangements Abstract. The aim of this book is to present torus actions as a connecting bridge between combinatorial and convex geometry on one side, and commu-tative and homological algebra, algebraic geometry and topology on the Size: KB.

The innocent download the topology of torus actions on symplectic manifolds associated by Doug Davidson included two dynamics in July one changed by Davidson, the postal rounded by medical Los Angeles Note Mark Kriski. 36; 10, download the topology of torus actions on symplectic manifolds injected from an last impression was.

Chapter 7. Half-dimensional torus actions Locally standard actions and manifolds with corners Toric manifolds and their quotients Quasitoric manifolds Locally standard T-manifolds and torus manifolds Topological toric manifolds Relationship between different classes of T-manifolds HAMILTONIAN TORUS ACTIONS IN EQUIVARIANT COHOMOLOGY AND SYMPLECTIC TOPOLOGY Milena Pabiniak, Ph.D.

Cornell University The central theme of this work are Hamiltonian torus actions on symplectic manifolds. We investigate the invariants of the action, and use the action to answer questions about the invariants of the manifold Size: KB. Read Book Torus Actions On Symplectic Manifolds Author Michele Audin Oct Examples of toric manifolds whose orbit spaces by the compact torus are not simple polytopes (ICM Satellite conference) Topology of torus actions and applications to geometry and combinatorics Suyama, Yusuke.The study of algebraic torus actions on algebraic varieties has developed into a highly successful branch of algebraic geometry known as toric geometry.

In symplectic geometry there has been a great deal of activity since the s studying Hamiltonian group actions on symplectic manifolds.

Toric topology emerged in the end of the s on the borders of equivariant topology, algebraic and symplectic geometry, combinatorics and commutative algebra.

It has quickly grown up into a very active area with many interdisciplinary links and applications, and continues to attract experts from different fields.

The key players in toric topology are moment .