Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications)

Book Description

This book provides a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). This material, which has previously only appeared in research papers based on substantial prerequisites, is made accessible to a broad mathematical audience.

The necessary prerequisites on C*-algebras and von Neumann algebras are summarized in an appendix, which contains all relevant definitions and results. All necessary background on Jordan algebras is given in the present book, and the first part of the book may be of independent interest for those wanting a quick introduction to Jordan algebras. This work will be of interest to researchers and students in operator algebras.

Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics)

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Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics)
S. K. Donaldson
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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Rational Homotopy Theory (Graduate Texts in Mathematics)

ASIN: 0521808030

Book Description

This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for self-dual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated Seiberg-Witten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution.

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The concept of Floer homology has been one of the most striking developments in differential geometry over the past 20 years. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas have led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.

Advances in Topological Quantum Field Theory: Proceedings of the NATO Adavanced Research Workshop on New Techniques in Topological Quantum Field Theory, ... II Mathematics, Physics and Chemistry)

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Advances in Topological Quantum Field Theory: Proceedings of the NATO Adavanced Research Workshop on New Techniques in Topological Quantum Field Theory, ... II Mathematics, Physics and Chemistry)

Manufacturer: Springer
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Binding: Paperback

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ASIN: 1402027710

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This volume is the conference proceedings of the NATO ARW during August 2001 at Kananaskis Village, Canada on "New Techniques in Topological Quantum Field Theory". This conference brought together specialists from a number of different fields all related to Topological Quantum Field Theory. The theme of this conference was to attempt to find new methods in quantum topology from the interaction with specialists in these other fields.

The featured articles include papers by V. Vassiliev on combinatorial formulas for cohomology of spaces of Knots, the computation of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by Shumakovitch. Moreover, there are articles on more classical topics related to manifolds and braid groups by such well known authors as D. Rolfsen, H. Zieschang and F. Cohen.

Functional Analysis on the Eve of the 21st Century in Honor of the 80th Birthday of I.M. Gelfand 1+2 (Progress in Mathematics)

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Functional Analysis on the Eve of the 21st Century in Honor of the 80th Birthday of I.M. Gelfand 1+2 (Progress in Mathematics)
Simon Gindikin , James Lepowsky , and Robert Wilson
Manufacturer: Birkhauser
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Binding: Hardcover

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ASIN: 0817638601

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These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.

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Geometric Quantization (Oxford Mathematical Monographs)

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Geometric Quantization (Oxford Mathematical Monographs)
N. M. J. Woodhouse
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover

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Book Description

The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure
mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and
extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded.

Geometrical Aspects of Quantum Fields: Proceedings of the First Workshop State University of Londrina, Brazil Held on 17-22 April 2000

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Geometrical Aspects of Quantum Fields: Proceedings of the First Workshop State University of Londrina, Brazil Held on 17-22 April 2000

Manufacturer: World Scientific Publishing Company
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Binding: Hardcover

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Geometry of Constrained Dynamical Systems (Publications of the Newton Institute)

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Geometry of Constrained Dynamical Systems (Publications of the Newton Institute)

Manufacturer: Cambridge University Press
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Binding: Hardcover

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Book Description

Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of formulating them as quantum systems, has many profound links with geometry. These links were explored in the Symposium on Geometry and Gravity held at the Newton Institute in 1994. This book, which arose from a conference held during that symposium, is a collection of papers devoted to problems such as Chern-Simons theory, sigma-models, gauge invariance and loop quantization, general relativity and the notion of time, and quantum gravity. They present a lively, varied and topical perspective on this important branch of theoretical physics from some of the leading authorities in the subject, and will be of value to theoretical physicists and mathematicians interested in the latest advances.

Integrable Systems and Quantum Groups: Lectures Given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Montecatini ... 14-22, 1993 (Lecture Notes in Mathematics)

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Integrable Systems and Quantum Groups: Lectures Given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Montecatini ... 14-22, 1993 (Lecture Notes in Mathematics)
Ron Donagi
Manufacturer: Springer
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Binding: Paperback

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M-Theory and Quantum Geometry (NATO Science Series C:)

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M-Theory and Quantum Geometry (NATO Science Series C:)

Manufacturer: Springer
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ASIN: 0792364740

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The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantisation of geometrical objects. The majority of contributions to this volume cover recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary particles and interactions. The geometrical concept of one-dimensional extended objects (strings) has always been at the core of superstring theory, but recently the focus has shifted to include higher-dimensional objects (D-branes), which play a key role in non-perturbative dynamics of the theory.
Related developments are also described in M-theory, our understanding of quantum effects in black-hole physics, gauge theory of the strong interaction, and the dynamic triangulation construction of the quantum geometry of spacetime.

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Larry McMurtry's Terms of Endearment touched readers in a way no other story has in recent years. The earthy humor and the powerful emotional impact that set this novel apart rise to brilliant new heights with The Evening Star.

McMurtry takes us deep into the heart of Texas, and deep into the heart of one of the most memorable characters of our time, Aurora Greenway -- along with her family, friends, and lovers -- in a tale of affectionate wit, bittersweet tenderness, and the unexpected turns that life can take. This is Larry McMurtry at his very best: warm, compassionate, full of comic invention, an author so attuned to the feelings, needs, and desires of his characters that they possess a reality unique in American fiction.

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Out of his many, one of his best........2003-09-08

No writer in the last half of the 20th century was better at character development than McMurtry. In "Terms" he introduced us to Aurora Greenway; here he he expands and burnishes her character while he folds in a supporting cast of almost equally fascinating lesser characters. This was one of those rare tomes I wished would never end. You don't have to like her, but if you finish this book unaffected by la Greenway, you'd best read it again. Aurora's successful plan to ensure her young Grandson would never forget her is one of the most moving sequences I have ever read. Two years after first reading this novel and I still well up just thinking about it.

not perfect, but very good.......2003-08-05

In typical McMurtry style, there is a good deal of humor and whimsy in this novel. For the first 400 pages or so I felt it was a bit overdone, but once I saw where the novel was headed, it made perfect sense. About the ultimate destination of the novel: it packs quite an emotional punch. Rare indeed is the novel that can make me cry, but this one did it.

As good as the first one!!.......1999-02-26

McMurtry's characters become so real to me that I can barely stand to let them go at the end of his books. I am so glad that I got to see what happened to the people from Terms of Endearment.

a must-read for a who fell in love with Terms of Endearment.......1996-12-29

Larry McMurty gives us another masterpiece of humor and tears in the continued saga of Aurora Greenway

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The Evening Star a novel
Larry McMurtry
Manufacturer: Simon & Schuster
ProductGroup: Book
Binding: Hardcover
ASIN: B000SO8F64

Evening Star, The Novel Sequel to Terms of Endearment

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Evening Star, The Novel Sequel to Terms of Endearment
Larry McMurtry
Manufacturer: Simon & Schuster
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Binding: Hardcover
ASIN: B000JD51SO

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The Evening Star: Recollections
Colette
Manufacturer: Peter Owen Publishers
ProductGroup: Book
Binding: Hardcover

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The Evening Star : A Novel
Larry; Rubenstein (editor) McMurtry
Manufacturer: New York, NY, U.S.A.: Simon & Schuster
ProductGroup: Book
Binding: Mass Market Paperback
ASIN: B000OUGFAA

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The Evening Star: A novel.
Larry. McMURTRY
Manufacturer: Simon & Schuster
ProductGroup: Book
Binding: Hardcover
ASIN: B000OFVFB4

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