Download or read book Connections Curvature and Cohomology Lie groups principal bundles and characteristic classes written by Werner Hildbert Greub and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Connections Curvature and Cohomology De Rham cohomology of manifolds and vector bundles Vol 2 Lie groups principal bundles and characteristic classes written by Werner Greub and published by . This book was released on 1972 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Connections Curvature and Cohomology written by and published by . This book was released on 1973 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Connections Curvature and Cohomology Vol Ii Lie Groups Principal Bundles and Characteristic Classes written by Werner H. Greub and published by . This book was released on 1973 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Connections Curvature and Cohomology written by Werner H. Greub and published by . This book was released on 1973 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lie Groups Principal Bundles and Characteristic Classes written by Werner Hilbert Greub and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curvature and Characteristic Classes written by J.L. Dupont and published by Springer. This book was released on 2006-11-15 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Geometry written by Loring W. Tu and published by Springer. This book was released on 2017-06-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of de Rham cohomology is required for the last third of the text. Prerequisite material is contained in author's text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included. Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields. The field has even found applications to group theory as in Gromov's work and to probability theory as in Diaconis's work. It is not too far-fetched to argue that differential geometry should be in every mathematician's arsenal.
Download or read book Connections Curvature and Cohomology Lie groups principal bundles and characteristic classes written by Werner Hildbert Greub and published by . This book was released on 1973 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2.
Download or read book Spectral Theory of Random Matrices written by Vyacheslav L. Girko and published by Academic Press. This book was released on 2016-08-23 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory of Random Matrices
Download or read book Connections Curvature and Cohomology written by Werner Hildbert Greub and published by Academic Press. This book was released on 1972 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.
Download or read book Connections Curvature and Cohomology Volume 3 written by Werner Greub and published by Academic Press. This book was released on 1976-02-19 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections, Curvature, and Cohomology Volume 3
Download or read book Connections Curvature and Cohomology V1 written by and published by Academic Press. This book was released on 1972-07-31 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections, Curvature, and Cohomology V1
Download or read book Characteristic Classes written by John Willard Milnor and published by Princeton University Press. This book was released on 1974 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Download or read book Differential Geometry written by Clifford Henry Taubes and published by OUP Oxford. This book was released on 2011-10-13 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kähler geometry. Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.
Download or read book Loop Spaces Characteristic Classes and Geometric Quantization written by Jean-Luc Brylinski and published by Springer Science & Business Media. This book was released on 2009-12-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.
Download or read book From Calculus to Cohomology written by Ib H. Madsen and published by Cambridge University Press. This book was released on 1997-03-13 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook on cohomology and curvature with emphasis on applications.
