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Author : Donaldson
Release : 2010-07-23
Genre :
Kind : eBook
Book Rating : 291/5 ( reviews)
Book Synopsis Floer Homology Groups in Yang-Mills Theory ICM Edition by : Donaldson
Download or read book Floer Homology Groups in Yang-Mills Theory ICM Edition written by Donaldson. This book was released on 2010-07-23. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. K. Donaldson
Release : 2002-01-10
Genre : Mathematics
Kind : eBook
Book Rating : 603/5 ( reviews)
Book Synopsis Floer Homology Groups in Yang-Mills Theory by : S. K. Donaldson
Download or read book Floer Homology Groups in Yang-Mills Theory written by S. K. Donaldson. This book was released on 2002-01-10. Available in PDF, EPUB and Kindle. Book excerpt: The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.
Author : Franki J.E. Dillen
Release : 2005-11-29
Genre : Mathematics
Kind : eBook
Book Rating : 204/5 ( reviews)
Book Synopsis Handbook of Differential Geometry by : Franki J.E. Dillen
Download or read book Handbook of Differential Geometry written by Franki J.E. Dillen. This book was released on 2005-11-29. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research. Extensive bibliography. Dealing with a diverse range of areas. Starting from the basics
Author : Sirakov Boyan
Release : 2019-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 899/5 ( reviews)
Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan. This book was released on 2019-02-27. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author : Vin de Silva
Release : 2014-06-05
Genre : Mathematics
Kind : eBook
Book Rating : 868/5 ( reviews)
Book Synopsis Combinatorial Floer Homology by : Vin de Silva
Download or read book Combinatorial Floer Homology written by Vin de Silva. This book was released on 2014-06-05. Available in PDF, EPUB and Kindle. Book excerpt: The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a -manifold.
