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Sunday, July 26, 2020 | History

8 edition of Moment maps, cobordisms, and Hamiltonian group actions found in the catalog.

Moment maps, cobordisms, and Hamiltonian group actions

by Victor Guillemin

  • 37 Want to read
  • 21 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Symplectic geometry,
  • Cobordism theory,
  • Geometric quantization

  • Edition Notes

    Includes bibliographical references and index

    StatementVictor Guillemin, Viktor Ginzburg, Yael Karshon
    SeriesMathematical surveys and monographs -- v. 98, Mathematical surveys and monographs -- no. 98
    ContributionsKarshon, Yael, 1964-, Ginzburg, Viktor L., 1962-
    Classifications
    LC ClassificationsQA665 .G85 2002
    The Physical Object
    Paginationviii, 350 p. :
    Number of Pages350
    ID Numbers
    Open LibraryOL15364005M
    ISBN 100821805029
    LC Control Number2002074590

      Hamiltonian group actions and moment maps Definition If (X, ω) {\displaystyle (X,\omega)} is a symplectic manifold, the group of symplectomorphisms of X {\displaystyle X} is the infinite-dimensional Lie group /Hamiltonian_group_actions_and_moment_maps.   By using the universal toric genus and the Kronecker pairing of bordism and cobordism, we show that the integral equivariant cohomology Chern numbers completely determine the equivariant geometric unitary bordism classes of closed unitary G-manifolds, which gives an affirmative answer to the conjecture posed by Guillemin--Ginzburg--Karshon in the book [Moment maps, cobordisms, and Hamiltonian

    Abstract. Moment maps exist in the category of contact group actions. In fact moment maps exist for all contact actions. This is because a contact form defines a   An introduction to symplectic geometry Megumi Harada, lecture notes by Kaname Hashimoto Summer School, Osaka, Hamiltonian actions, moment maps, symplectic quotients, and Delzant’s construction V. Ginzburg, Y. Karshon, Moment Maps, Cobordisms, and Hamiltonian Group Actions, ~takahiko/workshop/summer_school07/lecture_notes/

    Particular examples of abstract moment maps had been used in Hamiltonian mechanics for some time, but the abstract notion originated in the study of cobordisms of Hamiltonian group actions. moment map for a torus action and give a necessary and sufficient condition for an abstract moment map to be associated with a pre-symplectic ?doi= moment maps arise as a generalization of genuine moment maps on symplectic manifolds when the symplectic structure is discarded, but the relation between the mapping and the action is kept. Particular examples of abstract moment maps had been used in Hamiltonian mechanics for some time, but the abstract notion originated in the study of cobordisms of Hamiltonian group :// G/abstract.


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Moment maps, cobordisms, and Hamiltonian group actions by Victor Guillemin Download PDF EPUB FB2

Moment Maps, Cobordisms, and Hamiltonian Group Actions Share this page in the computation of invariants of G-manifolds is a consequence of a linearization theorem involving equivariant cobordisms.

The book incorporates a novel approach and showcases exciting new research. Cobordisms, and Hamiltonian Group Actions Base Product Code   ERRATUM FOR \MOMENT MAPS, COBORDISMS, AND HAMILTONIAN GROUP ACTIONS" Posted on October 3, This is an erratum for my joint book with Viktor L.

Ginzburg (U.C. Santa Cruz) and Victor Guillemin (M.I.T). The book appeared in in the series American Mathematical Society Mathematical Surveys and Monographs Moment Maps, Cobordisms and Hamiltonian Group Actions This research monograph presents results in a rapidly developing area of great contemporary interest.

Guillemin, Ginzburg, and Karshon show that the underlying topological thread in the computation of invariants of G-manifolds is a consequence of a linearization theorem involving equivariant   in and Hamiltonian group actions book context of cobordisms of Hamiltonian group actions.

The topics analyzed in the book in­ clude abstract moment maps, symplectic reduction, the Duistermaat-Heckman formula, This is a natural and important generalization of the notion of a moment map occurring in the theory of Hamiltonian dynamics. The book contains a number of appendices that include introductions to proper group-actions on manifolds, equivariant cohomology, Spin${^\mathrm{c}}$-structures, and  › Books › Science & Math › Mathematics.

Amazon配送商品ならMoment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98)が通常配送無料。更にAmazonならポイント還元本が多数。Guillemin, Victor W., Ginzburg, Viktor Moment maps, Karshon, Yael作品ほか、お急ぎ Moment Maps, Cobordisms, and Hamiltonian Group Actions About this Title.

Victor Guillemin, Massachusetts Institute of Technology, Cambridge, MA, Viktor Ginzburg, University of California, Santa Cruz, CA and Yael Karshon, The Hebrew University of Jerusalem, Jerusalem, Israel. Publication: Mathematical Surveys and Monographs Publication Year Volume Moment maps, cobordisms, and Hamiltonian group actions Victor Guillemin, Viktor Ginzburg, Yael Karshon (Mathematical surveys and monographs, v.

98) American Mathematical Society,   Hamiltonian group actions 15 (6) Hamiltonian geometry 21 (3) Compact Hamiltonian cobordisms 24 (3 Hamiltonian moment maps (4) 4. Abstract moment maps on linear (4) spaces are exact 5.

Formal cobordism of Hamiltonian spaces Appendix F Moment maps, cobordisms, and Hamiltonian group actions By Victor Guillemin, Viktor Ginzburg and Yael Karshon Topics: Mathematical Physics and Mathematics Keyword search results for MATH 98 books, page 1.

You are only a click away from finding your MATH 98 book up to 95% off. Our results will show you FREE shipping offers and available dollar off coupons. Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98) Hardcover Author: Victor Guillemin ?keyval=MATH+98&submit=1.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol.

98) by Victor Guillemin Hardcover   Moment Maps, Cobordisms, and Hamiltonian Group Actions Victor Guillemin Viktor Ginzburg Yael Karshon American Mathematical Society.

Contents Chapter 1. Introduction 1 1. Topological aspects of Hamiltonian group actions 1 2. Hamiltonian cobordism 4 3. The linearization theorem and non-compact cobordisms 5 4.

Abstract moment maps and non Genre/Form: Electronic books: Additional Physical Format: Print version: Guillemin, Victor, Moment maps, cobordisms, and Hamiltonian group :// Victor Guillemin, Yael Karshon, Viktor Ginzburg, Moment Maps, Cobordisms, and Hamiltonian Group Actions, Mathematical Surveys and Monographs, volume 98; Lecture notes and surveys include.

Joel W. Robbin, The moment map, an exposition, pdf. Nicole Berline, Michèle Vergne, Hamiltonian manifolds and moment maps. Original articles include+map. Moment Maps, Cobordisms and Hamiltonian Group Actions by Victor Guillemin,available at Book Depository with free delivery :// Moment Maps and Combinatorial Invariants of Hamiltonian TN-Spaces The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants.

The simplest and most interesting of these is the Moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of Moment maps, cobordism, and Hamiltonian group actions.

Cached. Download Links {Viktor Ginzburg and Victor Guillemin and Yael Karshon}, title = {Moment maps, cobordism, and Hamiltonian group actions }, year non-compact cobordisms topological aspect hamiltonian cobordism linearization theorem ?doi=   MOMENT MAPS AND GEOMETRIC INVARIANT THEORY CHRIS WOODWARD, RUTGERS UNIVERSITY, NEW BRUNSWICK Contents 1.

Introduction 1 2. Actions of Lie groups 2 3. Hamiltonian group actions 5 4. Geometric invariant theory 18 5. The Kempf-Ness theorem 23 6.

Schur-Horn convexity and its generalizations 36 7. The stratifications of Hesselink, Kirwan, and Ness. Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98) Victor W.

Guillemin, Viktor L. Ginzburg 他 | /10/1 ハードカバー?rh=n. Michele Audin, Torus actions on symplectic manifolds, Birkhauser, Ana Cannas da Silva, Lectures on Symplectic Geometry, Lecture Notes in MathematicsSpringer-Verlag pdf.

Viktor Ginzburg, Victor Guillemin, and Yael Karshon, Moment maps, cobordisms, and Hamiltonian group actions,  J. D. Christensen, G. Laures: Notes on Cobordism (MIT lecture notes based on a course given by Haynes R. Miller) Marko Petkovsek, Herbert Wilf and Doron Zeilberger: A=B Igor Dolgachev: Lectures on Invariant Theory Viktor L.

Ginzburg, Victor Guillemin & Yael Karshon: Moment maps, Cobordisms, and Hamiltonian Group ~blala/math/