Symplectic Manifolds With No Kaehler Structure
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Symplectic Manifolds With No Kaehler Structure
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Author : Alesky Tralle
language : en
Publisher: Springer
Release Date : 2006-11-14
Symplectic Manifolds With No Kaehler Structure written by Alesky Tralle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.
Symplectic Manifolds With No K Hler Structure
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Author : Aleksy Tralle
language : en
Publisher:
Release Date : 1997
Symplectic Manifolds With No K Hler Structure written by Aleksy Tralle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Homotopy theory categories.
Symplectic Manifolds With No Kaehler Structure
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Author : Alesky Tralle
language : en
Publisher:
Release Date : 2014-09-01
Symplectic Manifolds With No Kaehler Structure written by Alesky Tralle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Collected Works Of William P Thurston With Commentary
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Author : Benson Farb
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-05
Collected Works Of William P Thurston With Commentary written by Benson Farb and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-05 with Mathematics categories.
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume I contains William Thurston's papers on foliations, mapping classes groups, and differential geometry.
Symplectic Geometry
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Author : B. Aebischer
language : en
Publisher: Birkhäuser
Release Date : 2013-06-29
Symplectic Geometry written by B. Aebischer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis. As usual in such a situation, it may be tedious to collect all the necessary ingredients. The present book is intended to give the nonspecialist a solid introduction to the recent developments in symplectic and contact geometry. Chapter 1 gives a review of the symplectic group Sp(n,R), sympkctic manifolds, and Hamiltonian systems (last but not least to fix the notations). The 1\Iaslov index for closed curves as well as arcs in Sp(n, R) is discussed. This index will be used in chapters 5 and 8. Chapter 2 contains a more detailed account of symplectic manifolds start ing with a proof of the Darboux theorem saying that there are no local in variants in symplectic geometry. The most important examples of symplectic manifolds will be introduced: cotangent spaces and Kahler manifolds. Finally we discuss the theory of coadjoint orbits and the Kostant-Souriau theorem, which are concerned with the question of which homogeneous spaces carry a symplectic structure.
Lectures On Symplectic Manifolds
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Author : Alan Weinstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1977
Lectures On Symplectic Manifolds written by Alan Weinstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Features notes with sections containing a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. This title also includes sections dealing with various aspects of the quantization problem, as wel as those giving a feedback of ideas from quantization theory into symplectic geometry itslef.
Toeplitz Operators On K Hler Manifolds
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Author : Tatyana Barron
language : en
Publisher: Springer
Release Date : 2018-07-24
Toeplitz Operators On K Hler Manifolds written by Tatyana Barron and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-24 with Mathematics categories.
The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kähler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of multisymplectic and hyperkähler geometry are discussed. The book is suitable for graduate students, advanced undergraduate students, and any researchers.
Fundamental Groups Of Compact Kahler Manifolds
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Author : Jaume Amorós
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Fundamental Groups Of Compact Kahler Manifolds written by Jaume Amorós and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This book is an exposition of what is currently known about the fundamental groups of compact Kähler manifolds. This class of groups contains all finite groups and is strictly smaller than the class of all finitely presentable groups. For the first time ever, this book collects together all the results obtained in the last few years which aim to characterize those infinite groups which can arise as fundamental groups of compact Kähler manifolds. Most of these results are negative ones, saying which groups don not arise. The methods and techniques used form an attractive mix of topology, differential and algebraic geometry, and complex analysis. The book would be useful to researchers and graduate students interested in any of these areas, and it could be used as a textbook for an advanced graduate course. One of its outstanding features is a large number of concrete examples. The book contains a number of new results and examples which have not appeared elsewhere, as well as discussions of some important open questions in the field.
Differential Geometry Peniscola 1985
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Author : Antonio M. Naveira
language : en
Publisher: Springer
Release Date : 2006-11-14
Differential Geometry Peniscola 1985 written by Antonio M. Naveira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Geometry Of Submanifolds And Homogeneous Spaces
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Author : Andreas Arvanitoyeorgos
language : en
Publisher: MDPI
Release Date : 2020-01-03
Geometry Of Submanifolds And Homogeneous Spaces written by Andreas Arvanitoyeorgos and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-03 with Mathematics categories.
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Klein's Erlangen Program and S. Lie's idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered.