Search Results: an-introduction-to-riemann-surfaces-algebraic-curves-and-moduli-spaces-theoretical-and-mathematical-physics

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

Author: Martin Schlichenmaier

Publisher: Springer Science & Business Media

ISBN: 3540711759

Category: Science

Page: 217

View: 6959

This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

An Introduction to Families, Deformations and Moduli

Author: T. E. Venkata Balaji

Publisher: Universitätsverlag Göttingen

ISBN: 3941875329

Category: Complex manifolds

Page: 208

View: 7352

Quantum Field Theory I: Basics in Mathematics and Physics

A Bridge between Mathematicians and Physicists

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN: 354034764X

Category: Science

Page: 1051

View: 9255

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Quantum Field Theory III: Gauge Theory

A Bridge between Mathematicians and Physicists

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN: 3642224210

Category: Mathematics

Page: 1126

View: 8087

In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

Handbook of Teichmüller Theory

Author: Athanase Papadopoulos

Publisher: European Mathematical Society

ISBN: 9783037191033

Category: Mathematics

Page: 866

View: 7409

Mathematical Tools for Physicists

Author: George L. Trigg

Publisher: John Wiley & Sons

ISBN: 3527607250

Category: Science

Page: 686

View: 6344

Mathematical Tools for Physicists is a unique collection of 18 carefully reviewed articles, each one written by a renowned expert working in the relevant field. The result is beneficial to both advanced students as well as scientists at work; the former will appreciate it as a comprehensive introduction, while the latter will use it as a ready reference. The contributions range from fundamental methods right up to the latest applications, including: - Algebraic/ analytic / geometric methods - Symmetries and conservation laws - Mathematical modeling - Quantum computation The emphasis throughout is ensuring quick access to the information sought, and each article features: - an abstract - a detailed table of contents - continuous cross-referencing - references to the most relevant publications in the field, and - suggestions for further reading, both introductory as well as highly specialized. In addition, a comprehensive index provides easy access to the vast number of key words extending beyond the range of the headlines.

Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs

Author: S. M. Natanzon

Publisher: American Mathematical Soc.

ISBN: 9780821889657

Category:

Page: N.A

View: 9950

Computational Approach to Riemann Surfaces

Author: Alexander I. Bobenko,Christian Klein

Publisher: Springer Science & Business Media

ISBN: 3642174124

Category: Mathematics

Page: 257

View: 6523

This volume is a well structured overview of existing computational approaches to Riemann surfaces as well as those under development. It covers the software tools currently available and provides solutions to partial differential equations and surface theory.

Analysis and Mathematical Physics

Author: Björn Gustafsson,Alexander Vasil'ev

Publisher: Springer Science & Business Media

ISBN: 9783764399061

Category: Mathematics

Page: 514

View: 4310

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Riemann Surfaces and Algebraic Curves

Author: Renzo Cavalieri,Eric Miles

Publisher: Cambridge University Press

ISBN: 110714924X

Category: Mathematics

Page: 200

View: 7477

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

Encyclopedia of applied physics

Author: American Institute of Physics

Publisher: Wiley-VCH

ISBN: 9783527294756

Category: Science

Page: 591

View: 7846

The 23-volume Encyclopedia of Applied Physics - EAP - is a monumental first in scope, depth, and usability. It demonstrates the synergy between physics and technological applications. Information is presented according to the following subject areas: * General Aspects; Mathematical and Information Techniques * Measurement Sciences, General Devices and/or Methods * Nuclear and Elementary Particle Physics * Atomic and Molecular Physics * Electricity and Magnetism * Optics (classical and quantum) * Acoustics * Thermodynamics and Properties of Gases * Fluids and Plasma Physics * Condensed Matter: Structure and Mechanical Properties; Thermal, Acoustic, and Quantum Properties ; Electronic Properties ; Magnetic Properties ; Dielectrical and Optical Properties; Surfaces and Interfaces * Materials Science * Physical Chemistry * Energy Research and Environmental Physics * Biophysics and Medical Physics * Geophysics, Meteorology, Space Physics and Aeronautics EAP consists of 20 hardcover volumes arranged alphabetically. A cumulative subject index will be published after every three volumes, with a full index accompanying the complete work.

The Moduli Space of Curves

Author: Robert H. Dijkgraaf,Carel Faber,Gerard B.M. van der Geer

Publisher: Springer Science & Business Media

ISBN: 1461242649

Category: Mathematics

Page: 563

View: 7086

The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Mathematical Aspects of String Theory

Author: S-T Yau

Publisher: World Scientific

ISBN: 9814603783

Category: String models

Page: 664

View: 8578

Contents:Introduction to Quantum Field Theory, Path Integrals and String (B Hatfield)From Polyakov to Moduli (J Polchinski)Geometry of Quantum Strings (E D'Hoker & D H Phong)BRST Quantization and BRST Cohomology (N Marcus & A Sagnotti)Analytic Structure of Two-Dimensional Quantum Field Theories (P Nelson)Geometrical Meaning of Currents in String Theory (O Alvarez & P Windey)String Field Theory and the Geometry of Moduli Space (S Giddings)String Theory Without a Background Spacetime Geometry (G Horowitz)Holomorphic Curves on Manifolds of SU(3) Holonomy (E Witten)Vertex Operator Calculus (I Frenkel et al.)On Determinant Line Bundles (D Freed)h-Invariant and the Index (I Singer)Action Principles and Global Geometry (G Zuckerman)Introduction to Moduli Space of Curves (J Harris)Moduli Space of Punctured Surfaces (R Penner)Geometric Complex Coordinates for Teichmüller Space (A Marden)Asymptotics of the Selberg Zeta Function and the Polyakov Bosonic Integrand (S Wolpert)Super Riemann Surfaces (J Rabin)Divisors on Mg and the Cosmological Constant (M Chang & Z Ran)Severi Problem: A Post-Mortem (?) (Z Ran)Slope of Subvarieties of M15 (6 2/3 ≤ S15 ≤ 6 3/4) (M Chang & Z Ran)Arithmetic Intersections (G Faltings)Deformation Theory for Cohomology of Analytic Vector Bundles on Kähler Manifolds (M Green & R Lazarsfeld)Topology and Geometry in Superstring-Inspired Phenomenology (B Greene et al.)Yukawa Couplings between (2, 1)-Forms (P Candelas)Three-Dimensional Algebraic Maniforlds with C1=0 and x=-6 (G Tian & S T Yau)Hermitian-Yang-Mills Connection on Non-Kähler Manifolds (J Li & S T Yau)Existence of Kähler-Einstein Metrics on Complete Kähler Manifolds (G Tian & S T Yau)Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and its Peterson-Weil Metric (G Tian)Critical Phenomena (S Shenker) Readership: Mathematical and high energy physicists. Keywords:String Theory;Proceedings;Conference;San Diego/California

Moduli Spaces of Curves, Mapping Class Groups and Field Theory

Author: Xavier Buff

Publisher: American Mathematical Soc.

ISBN: 0821831674

Category: Mathematics

Page: 131

View: 911

This book grew out of a workshop on the applications of moduli spaces of Riemann surfaces in theoretical physics and number theory and on Grothendieck's dessins d'enfants and their generalizations. Chapter 1 gives an introduction to Teichmuller space that is more concise than the popular textbooks, yet contains full proofs of many useful results which are often difficult to find in the literature. This chapter also contains an introduction to moduli spaces of curves, with a detailed description of the genus zero case, and in particular of the part at infinity. Chapter 2 takes up the subject of the genus zero moduli spaces and gives a complete description of their fundamental groupoids, based at tangential base points neighboring the part at infinity; the description relies on an identification of the structure of these groupoids with that of certain canonical subgroupoids of a free braided tensor category. It concludes with a study of the canonical Galois action on the fundamental groupoids, computed using Grothendieck-Teichmuller theory. Finally, Chapter 3 studies strict ribbon categories, which are closely related to braided tensor categories: here they are used to construct invariants of 3-manifolds which in turn give rise to quantum field theories.

Geometry and Physics

Author: Jürgen Jost

Publisher: Springer Science & Business Media

ISBN: 9783642005411

Category: Mathematics

Page: 217

View: 3182

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

Consistent classical supergravity theories

Author: Martin Müller

Publisher: Springer

ISBN: 9783540514275

Category: Supergravity

Page: 125

View: 8744

Supergravity can be seen as an intermediate step between general relativity and a future quantum theory of gravity. For the reader familiar with the basic concepts, this volume gives a concise presentation of both conformal and Poincaré supergravity. The consistent four-dimensional supergravity theories are classified. For the practitioner in this field the book will be a valuable source, in particular with respect to the rather awkward formulae needed for further modelling, which have been carefully checked by the author. The book will be helpful not only for researchers, but also for advanced students.

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 3979

BL Lac objects

proceedings of a workshop held in Como, Italy, September 20-23, 1988

Author: Laura Maraschi,Tommaso Maccacaro,Marie-Hélène Ulrich

Publisher: Not Avail

ISBN: 9783540513896

Category: Science

Page: 497

View: 3399

This volume gives a comprehensible survey of BL Lac objects: contributors summarize observations on these interesting astrophysical objects and present theoretical models to explain them. Understanding these objects should help to give a better insight into the physics of black holes and relativistic plasmas. Topics addressed cover radio jets expanding at superluminal velocities, possible effects of relativistic jets on interstellar matter, the continuum emission over the whole electromagnetic system and its variability, and the impact of these observations on gravitational lensing and cosmological evolution. The book should be immensely useful for graduate students.

Integrable systems and applications

proceedings of a workshop, held at Oléron, France, June 20-24, 1988

Author: Mikhael Balabane

Publisher: Springer Verlag

ISBN: 9780387516158

Category: Mathematics

Page: 342

View: 390

The Aharonov-Bohm effect

Author: Murray Peshkin,Akira Tonomura

Publisher: Springer Verlag

ISBN: N.A

Category: Science

Page: 152

View: 4785

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