## Introduction to Symplectic Dirac Operators

Author: Katharina Habermann,Lutz Habermann

Publisher: Springer

ISBN: 3540334211

Category: Mathematics

Page: 125

View: 7151

This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.
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## Geometric Methods in Physics

XXXI Workshop, Białowieża, Poland, June 24–30, 2012

Author: Piotr Kielanowski,S. Twareque Ali,Alexander Odesskii,Anatol Odzijewicz,Martin Schlichenmaier,Theodore Voronov

Publisher: Springer Science & Business Media

ISBN: 3034806450

Category: Mathematics

Page: 237

View: 1515

The Białowieża workshops on Geometric Methods in Physics, taking place in the unique environment of the Białowieża natural forest in Poland, are among the important meetings in the field. Every year some 80 to 100 participants both from mathematics and physics join to discuss new developments and to interchange ideas. The current volume was produced on the occasion of the XXXI meeting in 2012. For the first time the workshop was followed by a School on Geometry and Physics, which consisted of advanced lectures for graduate students and young researchers. Selected speakers of the workshop were asked to contribute, and additional review articles were added. The selection shows that despite its now long tradition the workshop remains always at the cutting edge of ongoing research. The XXXI workshop had as a special topic the works of the late Boris Vasilievich Fedosov (1938–2011) who is best known for a simple and very natural construction of a deformation quantization for any symplectic manifold, and for his contributions to index theory.​
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## Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications

Author: Stephen Wiggins

Publisher: American Mathematical Soc.

ISBN: 9780821871676

Category: Mathematics

Page: N.A

View: 1865

This monograph, which grew out of a series of lectures delivered by Stephen Wiggins at the Fields Institute in early 1993, is concerned with the geometrical viewpoint of the global dynamics of nonlinear dynamical systems. With appropriate examples and concise explanations, Wiggins unites many different topics into one volume and makes a unique contribution to the field. Engineers, physicists, chemists, and mathematicians who work on issues related to the global dynamics of nonlinear dynamical systems will find these lectures very useful.
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## Moment Maps, Cobordisms, and Hamiltonian Group Actions

Author: Victor Guillemin,T L Ohsawa,Yael Karshon,Viktor L. Ginzburg

Publisher: American Mathematical Soc.

ISBN: 0821805029

Category: Mathematics

Page: 350

View: 5972

During the last 20 years, localization'' has been one of the dominant themes in the area of equivariant differential geometry. Typical results are the Duistermaat-Heckman theory, the Berline-Vergne-Atiyah-Bott localization theorem in equivariant de Rham theory, and the quantization commutes with reduction'' theorem and its various corollaries. To formulate the idea that these theorems are all consequences of a single result involving equivariant cobordisms, the authors have developed a cobordism theory that allows the objects to be non-compact manifolds. A key ingredient in this non-compact cobordism is an equivariant-geometrical object which they call an abstract moment map''. 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 stable complex structures. It is geared toward graduate students and research mathematicians interested in differential geometry. It is also suitable for topologists, Lie theorists, combinatorists, and theoretical physicists. Prerequisite is some expertise in calculus on manifolds and basic graduate-level differential geometry.
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## Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Author: Bhatia Rajendra,Pal Arup,Rangarajan G

Publisher: World Scientific

ISBN: 9814462934

Category: Mathematics

Page: 4144

View: 8648

ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
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## Memoirs of the Scientific Sections of the Academy of the Socialist Republic of Romania

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Engineering

Page: N.A

View: 9519

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## Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2901

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## Revue roumaine de mathématiques pures et appliquées

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 1896

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## The British National Bibliography

Author: Arthur James Wells

Publisher: N.A

ISBN: N.A

Category: English literature

Page: N.A

View: 1660

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## Encyclopedia of Mathematical Physics

Author: Jean-Pierre Françoise,Gregory L. Naber,Tsou Sheung Tsun