Symplectic Manifolds And Jones Witten Theory PDF Download
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Author | : S. K. Donaldson |
Publisher | : Cambridge University Press |
Total Pages | : 264 |
Release | : 1990 |
Genre | : Low-dimensional topology |
ISBN | : 9780521400015 |
Download Symplectic Manifolds and Jones-Witten Theory Book in PDF, ePub and Kindle
Author | : S. K. Donaldson |
Publisher | : |
Total Pages | : |
Release | : 1990 |
Genre | : Low-dimensional topology |
ISBN | : |
Download Geometry of Low-dimensional Manifolds Book in PDF, ePub and Kindle
Author | : Donaldson/Thomas |
Publisher | : |
Total Pages | : 259 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 9781107361683 |
Download Geometry of Low-Dimensional Manifolds: 2 Book in PDF, ePub and Kindle
These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.
Author | : S. K. Donaldson |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 1991-01-24 |
Genre | : Mathematics |
ISBN | : 9780521400015 |
Download Geometry of Low-Dimensional Manifolds: Volume 2 Book in PDF, ePub and Kindle
These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.
Author | : S. K. Donaldson |
Publisher | : |
Total Pages | : 242 |
Release | : 1990 |
Genre | : Manifolds (Mathematics) |
ISBN | : |
Download Geometry of Low-dimensional Manifolds Book in PDF, ePub and Kindle
Author | : Sen Hu |
Publisher | : World Scientific |
Total Pages | : 214 |
Release | : 2001-06-29 |
Genre | : Science |
ISBN | : 9814494658 |
Download Lecture Notes On Chern-simons-witten Theory Book in PDF, ePub and Kindle
This invaluable monograph has arisen in part from E Witten's lectures on topological quantum field theory in the spring of 1989 at Princeton University. At that time Witten unified several important mathematical works in terms of quantum field theory, most notably the Donaldson polynomial, the Gromov-Floer homology and the Jones polynomials.In his lectures, among other things, Witten explained his intrinsic three-dimensional construction of Jones polynomials via Chern-Simons gauge theory. He provided both a rigorous proof of the geometric quantization of the Chern-Simons action and a very illuminating view as to how the quantization arises from quantization of the space of connections. He constructed a projective flat connection for the Hilbert space bundle over the space of complex structures, which becomes the Knizhik-Zamolodchikov equations in a special case. His construction leads to many beautiful applications, such as the derivation of the skein relation and the surgery formula for knot invariant, a proof of Verlinde's formula, and the establishment of a connection with conformal field theory.In this book, Sen Hu has added material to provide some of the details left out of Witten's lectures and to update some new developments. In Chapter 4 he presents a construction of knot invariant via representation of mapping class groups based on the work of Moore-Seiberg and Kohno. In Chapter 6 he offers an approach to constructing knot invariant from string theory and topological sigma models proposed by Witten and Vafa. The localization principle is a powerful tool to build mathematical foundations for such cohomological quantum field theories.In addition, some highly relevant material by S S Chern and E Witten has been included as appendices for the convenience of readers: (1) Complex Manifold without Potential Theory by S S Chern, pp148-154. (2) “Geometric quantization of Chern-Simons gauge theory” by S Axelrod, S D Pietra and E Witten. (3) “On holomorphic factorization of WZW and Coset models” by E Witten.
Author | : Michael Francis Atiyah |
Publisher | : Cambridge University Press |
Total Pages | : 112 |
Release | : 1990-08-23 |
Genre | : Mathematics |
ISBN | : 9780521395540 |
Download The Geometry and Physics of Knots Book in PDF, ePub and Kindle
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 | : Clifford Taubes |
Publisher | : |
Total Pages | : 405 |
Release | : 2010 |
Genre | : Four-manifolds (Topology) |
ISBN | : 9781571462039 |
Download Seiberg-Witten and Gromov Invariants for Symplectic 4-manifolds Book in PDF, ePub and Kindle
Author | : Marcel Berger |
Publisher | : Springer Science & Business Media |
Total Pages | : 835 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642182453 |
Download A Panoramic View of Riemannian Geometry Book in PDF, ePub and Kindle
This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS
Author | : Akio Kawauchi |
Publisher | : Birkhäuser |
Total Pages | : 431 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034892276 |
Download A Survey of Knot Theory Book in PDF, ePub and Kindle
Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.