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Author : Alberto S. Cattaneo
Publisher :
ISBN 13 : 9780817672317
Total Pages : 380 pages
Book Rating : 4.6/5 (723 download)
Download or read book Higher Structures in Geometry and Physics written by Alberto S. Cattaneo and published by . This book was released on 2011-03-30 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9781282973626
Total Pages : pages
Book Rating : 4.9/5 (736 download)
Download or read book Higher Structures in Geometry and Physics written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alberto S. Cattaneo
Publisher : Springer Science & Business Media
ISBN 13 : 081764735X
Total Pages : 371 pages
Book Rating : 4.8/5 (176 download)
Download or read book Higher Structures in Geometry and Physics written by Alberto S. Cattaneo and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.
Author : Ralph M. Kaufmann
Publisher :
ISBN 13 : 9781470471422
Total Pages : 0 pages
Book Rating : 4.4/5 (714 download)
Download or read book Higher Structures in Topology, Geometry and Physics written by Ralph M. Kaufmann and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3642005411
Total Pages : 217 pages
Book Rating : 4.6/5 (42 download)
Download or read book Geometry and Physics written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2009-08-17 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author : Robert Hermann
Publisher : Math Science Press
ISBN 13 : 9780915692422
Total Pages : 363 pages
Book Rating : 4.6/5 (924 download)
Download or read book Geometric Structures in Nonlinear Physics written by Robert Hermann and published by Math Science Press. This book was released on 1991 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Author : James D. Stasheff
Publisher : American Mathematical Soc.
ISBN 13 : 082180913X
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by James D. Stasheff and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas. It's features include: accessible to a broad audience interested in mathematics and physics; offers a comprehensive overview of Stasheff's work; and, contains papers on very current research topics, including operads, combinatorial polyhedra and moduli spaces.
Author : U Bruzzo
Publisher : CRC Press
ISBN 13 : 1420034294
Total Pages : 282 pages
Book Rating : 4.4/5 (2 download)
Download or read book Geometry and Physics of Branes written by U Bruzzo and published by CRC Press. This book was released on 2002-11-05 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Branes are solitonic configurations of a string theory that are represented by extended objects in a higher-dimensional space-time. They are essential for a comprehension of the non-perturbative aspects of string theory, in particular, in connection with string dualities. From the mathematical viewpoint, branes are related to several important theo
Author : Michael Francis Atiyah
Publisher : Cambridge University Press
ISBN 13 : 9780521395540
Total Pages : 112 pages
Book Rating : 4.3/5 (955 download)
Download or read book The Geometry and Physics of Knots written by Michael Francis Atiyah and published by Cambridge University Press. This book was released on 1990-08-23 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes deal with an area that lies at the crossroads of mathematics and physics and rest primarily on the pioneering work of Vaughan Jones and Edward Witten, who related polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions.
Author :
Publisher :
ISBN 13 : 9814467464
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Trends in Differential Geometry, Complex Analysis and Mathematical Physics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821855638
Total Pages : 321 pages
Book Rating : 4.8/5 (556 download)
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. S. Krasil′shchik
Publisher : American Mathematical Society
ISBN 13 : 1470471477
Total Pages : 250 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Diverse World of PDEs written by I. S. Krasil′shchik and published by American Mathematical Society. This book was released on 2023-08-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13–17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia. The papers are devoted to various interrelations of nonlinear PDEs with geometry and integrable systems. The topics discussed are: gravitational and electromagnetic fields in General Relativity, nonlocal geometry of PDEs, Legendre foliated cocycles on contact manifolds, presymplectic gauge PDEs and Lagrangian BV formalism, jet geometry and high-order phase transitions, bi-Hamiltonian structures of KdV type, bundles of Weyl structures, Lax representations via twisted extensions of Lie algebras, energy functionals and normal forms of knots, and differential invariants of inviscid flows. The companion volume (Contemporary Mathematics, Volume 789) is devoted to Algebraic and Cohomological Aspects of PDEs.
Author : Kotani Motoko
Publisher : World Scientific
ISBN 13 : 9813144629
Total Pages : 412 pages
Book Rating : 4.8/5 (131 download)
Download or read book Noncommutative Geometry And Physics 4 - Workshop On Strings, Membranes And Topological Field Theory written by Kotani Motoko and published by World Scientific. This book was released on 2017-03-16 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 "Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information", and related events in the period 2014–2016. This volume especially contains an overview of recent developments in the theory of strings and membranes, as well as topological field theory.
Author : José F. Cariñena
Publisher : Springer
ISBN 13 : 9401792208
Total Pages : 739 pages
Book Rating : 4.4/5 (17 download)
Download or read book Geometry from Dynamics, Classical and Quantum written by José F. Cariñena and published by Springer. This book was released on 2014-09-23 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and super integrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics.
Author : Stancho Dimiev
Publisher : World Scientific
ISBN 13 : 9812384529
Total Pages : 248 pages
Book Rating : 4.8/5 (123 download)
Download or read book Trends in Complex Analysis, Differential Geometry, and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects. This series of workshops aims at higher achievements in studies of new research subjects. The present volume will meet with the satisfaction of many readers.
Author : Demeter Krupka
Publisher : Springer
ISBN 13 : 9462390738
Total Pages : 354 pages
Book Rating : 4.4/5 (623 download)
Download or read book Introduction to Global Variational Geometry written by Demeter Krupka and published by Springer. This book was released on 2015-01-13 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections of a fibred space, the (global) first variational formula in infinitesimal and integral forms- extremal conditions and the discussion of Noether symmetries and generalizations,- the inverse problems of the calculus of variations of Helmholtz type- variational sequence theory and its consequences for the global inverse problem (cohomology conditions)- examples of variational functionals of mathematical physics. Complete formulations and proofs of all basic assertions are given, based on theorems of global analysis explained in the Appendix.
Author : Kouei Sekigawa
Publisher : American Institute of Physics
ISBN 13 : 9780735408951
Total Pages : 0 pages
Book Rating : 4.4/5 (89 download)
Download or read book International Workshop on Complex Structures, Integrability and Vector Fields written by Kouei Sekigawa and published by American Institute of Physics. This book was released on 2011-07-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present workshop is aiming at the higher achievement of the studies of current topics ranging over differential geometry, Complex analysis and mathematical physics their future developments and their numerous applications. The present volume provides useful and significant information to the specialists in differential geometry, complex analysis and mathematical physics. It will be interesting also to a much broader audience of scholars and scientists working or interested in classical and quantum mechanics, in cell membranes, integrability and soliton interactions etc. Its geometric part includes homogeneous structures on almost contact metric spaces, geometric structures in four-manifolds and almost hermitian structures, complex connections on conformal Kähler manifolds, existence of compact hypersurfaces with the second fundamental form of constant length, linear Weingarten surfaces in a hyperbolic three-space, pre-contrast functions and their geometric properties, and further, fibre bundle formulation of Lagrangian quantum field theory, curvature forms and interaction of fields concerning geometrical setting in mathematical physics. The part on integrability and vector fields is devoted to the study of multicomponent nonlinear Schrodinger (MNLS) equations which play important role for understanding hydro-dynamical processes, the phenomena of Bose-Einstein condensates, etc. The symmetries of these MNLS equations are also studied, as well as their reductions and Lie algebraic properties. The third part of these proceedings treats problems of contemporary mechanics and mathematical physics. The methods of differential geometry quite unexpectedly provide important tool for modeling and studying microinjections in cell membranes, the equilibrium.
