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Author : Dominic D. Joyce
Publisher : OUP Oxford
Page : 460 pages
File Size : 46,29 MB
Release : 2000
Category : Mathematics
ISBN : 9780198506010
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.
Author : Dominic D. Joyce
Publisher : Oxford University Press
Page : 314 pages
File Size : 42,51 MB
Release : 2007
Category : Mathematics
ISBN : 019921560X
Riemannian Holonomy Groups and Calibrated Geometry covers an exciting and active area of research at the crossroads of several different fields in mathematics and physics. Drawing on the author's previous work the text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.
Author : Mark Gross
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 42,88 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642190049
This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS
Author : Christine Jiayou Taylor
Publisher :
Page : 84 pages
File Size : 37,51 MB
Release : 2000
Category : Holonomy groups
ISBN :
Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
Page : 396 pages
File Size : 11,46 MB
Release : 2004
Category : Mathematics
ISBN : 9780821837153
Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
Author : Spiro Karigiannis
Publisher : Springer Nature
Page : 392 pages
File Size : 17,11 MB
Release : 2020-05-26
Category : Mathematics
ISBN : 1071605771
This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.
Author : Shing-Tung Yau
Publisher : Il Saggiatore
Page : 398 pages
File Size : 42,5 MB
Release : 2010-09-07
Category : Mathematics
ISBN : 0465020232
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Author : Jurgen Berndt
Publisher : CRC Press
Page : 494 pages
File Size : 26,22 MB
Release : 2016-02-22
Category : Mathematics
ISBN : 1482245167
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom
Author : Bernhard Riemann
Publisher : Birkhäuser
Page : 181 pages
File Size : 29,18 MB
Release : 2016-04-19
Category : Mathematics
ISBN : 3319260421
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Author : Danny Calegari
Publisher : Oxford University Press on Demand
Page : 378 pages
File Size : 13,45 MB
Release : 2007-05-17
Category : Mathematics
ISBN : 0198570082
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.