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Author : Paul Lee Robinson,John Howard Rawnsley
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 50,6 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821824733
Author : John Howard Rawnsley
Publisher : American Mathematical Soc.
Page : 104 pages
File Size : 53,5 Mb
Release : 1989-12-31
Category : Mathematics
ISBN : 0821861344
Author : Stephen Semmes
Publisher : American Mathematical Soc.
Page : 111 pages
File Size : 47,6 Mb
Release : 1992
Category : Conformal mapping
ISBN : 9780821825327
Similar in philosophy to the study of moduli spaces in algebraic geometry, the central theme of this book is that spaces of (pseudoconvex) domains should admit geometrical structures that reflect the complex geometry of the underlying domains in a natural way. With its unusual geometric perspective of some topics in several complex variables, this book appeals to those who view much of mathematics in broadly geometrical terms.
Author : Katharina Habermann,Lutz Habermann
Publisher : Springer
Page : 131 pages
File Size : 53,5 Mb
Release : 2006-10-28
Category : Mathematics
ISBN : 9783540334217
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.
Author : Gerhard Grensing
Publisher : World Scientific
Page : 1656 pages
File Size : 54,7 Mb
Release : 2021-07-15
Category : Science
ISBN : 9789811237096
The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
Author : Piotr Kielanowski,S. Twareque Ali,Alexander Odesskii,Anatol Odzijewicz,Martin Schlichenmaier,Theodore Voronov
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 40,8 Mb
Release : 2013-07-30
Category : Mathematics
ISBN : 9783034806459
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.
Author : Jedrzej Sniatycki
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461260660
This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical University Clausthal. The aim of the seminars was to present geometric quantization from the point of view· of its applica tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems. The group representation aspects of geometric quantiza tion as well as proofs of the existence and the uniqueness of the introduced structures can be found in the expository papers of Blattner, Kostant, Sternberg and Wolf, and also in the references quoted in these papers. The books of Souriau (1970) and Simms and Woodhouse (1976) present the theory of geometric quantization and its relationship to quantum mech anics. The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics.
Author : Marek Ptak
Publisher : Springer Nature
Page : 423 pages
File Size : 50,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031506130
Author : Dennis A. Hejhal
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 45,8 Mb
Release : 1992
Category : Automorphic functions
ISBN : 9780821825297
Paper I is concerned with computational aspects of the Selberg trace formalism, considering the usual type of eigenfunction and including an analysis of pseudo cusp forms and their residual effects. Paper II examines the modular group PSL (2, [bold]Z), as such groups have both a discrete and continuous spectrum. This paper only examines the discrete side of the spectrum.
Author : Michael L. Mihalik,Steven Thomas Tschantz
Publisher : American Mathematical Soc.
Page : 98 pages
File Size : 54,6 Mb
Release : 1992
Category : Free products
ISBN : 9780821825310
In this work, the authors show that amalgamated products and HNN-extensions of finitely presented semistable at infinity groups are also semistable at infinity. A major step toward determining whether all finitely presented groups are semistable at infinity, this result easily generalizes to finite graphs of groups. The theory of group actions on trees and techniques derived from the proof of Dunwoody's accessibility theorem are key ingredients in this work.
Author : Stephen Wiggins
Publisher : American Mathematical Soc.
Page : 538 pages
File Size : 44,5 Mb
Release : 2024-07-01
Category : Education
ISBN : 0821871676
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.
Author : Anthony Joseph,Fulbert Mignot,Francois Murat,Bernard Prum,Rudolf Rentschler
Publisher : Birkhäuser
Page : 600 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034891103
Table of contents: Plenary Lectures V.I. Arnold: The Vassiliev Theory of Discriminants and Knots L. Babai: Transparent Proofs and Limits to Approximation C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 S.K. Donaldson: Gauge Theory and Four-Manifold Topology W. Mller: Spectral Theory and Geometry D. Mumford: Pattern Theory: A Unifying Perspective A.-S. Sznitman: Brownian Motion and Obstacles M. Vergne: Geometric Quantization and Equivariant Cohomology Parallel Lectures Z. Adamowicz: The Power of Exponentiation in Arithmetic A. Bjrner: Subspace Arrangements B. Bojanov: Optimal Recovery of Functions and Integrals J.-M. Bony: Existence globale et diffusion pour les modles discrets R.E. Borcherds: Sporadic Groups and String Theory J. Bourgain: A Harmonic Analysis Approach to Problems in Nonlinear Partial Differatial Equations F. Catanese: (Some) Old and New Results on Algebraic Surfaces Ch. Deninger: Evidence for a Cohomological Approach to Analytic Number Theory S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow.
Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 585 pages
File Size : 44,6 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821814949
The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Author : Sergio Albeverio,Fritz Gesztesy
Publisher : American Mathematical Soc.
Page : 650 pages
File Size : 40,8 Mb
Release : 2000
Category : Mathematics
ISBN : 0821819607
This volume and Stochastic Processes, Physics and Geometry: New Interplays I present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.
Author : Nicholas Michael John Woodhouse
Publisher : Oxford University Press
Page : 324 pages
File Size : 47,9 Mb
Release : 1992
Category : Mathematics
ISBN : 0198502702
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.