Monopoles And Three Manifolds PDF Download
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Author | : P. B. Kronheimer |
Publisher | : |
Total Pages | : 796 |
Release | : 2007 |
Genre | : Electronic books |
ISBN | : 9780511378201 |
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This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Author | : Peter Kronheimer |
Publisher | : Cambridge University Press |
Total Pages | : 808 |
Release | : 2010-11-25 |
Genre | : Mathematics |
ISBN | : 9780521184762 |
Download Monopoles and Three-Manifolds Book in PDF, ePub and Kindle
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg-Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides the first full discussion of a central part of the study of the topology of manifolds since the mid 1990s.
Author | : Kronheimer P B Mrowka Tomasz |
Publisher | : |
Total Pages | : 810 |
Release | : 2014-05-14 |
Genre | : Mathematics |
ISBN | : 9780511379093 |
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This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Author | : Peter J. Braam |
Publisher | : |
Total Pages | : 290 |
Release | : 1987 |
Genre | : Magnetic monopoles |
ISBN | : |
Download Magnetic Monopoles and Hyperbolic Three-manifolds Book in PDF, ePub and Kindle
Author | : Bai-Ling Wang |
Publisher | : |
Total Pages | : 140 |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Seiberg-Witten Monopoles on Three-manifolds Book in PDF, ePub and Kindle
Author | : P. J. Braam |
Publisher | : |
Total Pages | : 64 |
Release | : 1987 |
Genre | : |
ISBN | : |
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Author | : Peter Kronheimer |
Publisher | : |
Total Pages | : |
Release | : 2010-07-23 |
Genre | : |
ISBN | : 9780521170260 |
Download Monopoles and Three-Manifolds ICM Edition Book in PDF, ePub and Kindle
Author | : Francesco Lin |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 2018-10-03 |
Genre | : Floer homology |
ISBN | : 1470429632 |
Download A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture Book in PDF, ePub and Kindle
In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped equipped with a structure which is isomorphic to its conjugate, the author defines the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.
Author | : Liviu I. Nicolaescu |
Publisher | : American Mathematical Soc. |
Total Pages | : 504 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821821458 |
Download Notes on Seiberg-Witten Theory Book in PDF, ePub and Kindle
After background on elliptic equations, Clifford algebras, Dirac operators, and Fredholm theory, chapters introduce solutions of the Seiberg-Witten equations and the group of gauge transformations, then look at algebraic surfaces. A final chapter presents in great detail a cut-and-paste technique for computing Seiberg-Witten invariants, covering elliptic equations on manifolds with cylindrical ends, finite energy monopoles on cylindrical manifolds, local and global properties of the moduli spaces of finite energy monopoles, and the process of reconstructing the space of monopoles on a 4-manifold decomposed into several parts by a hypersurface. Annotation copyrighted by Book News, Inc., Portland, OR.
Author | : Nikolai Saveliev |
Publisher | : Walter de Gruyter |
Total Pages | : 220 |
Release | : 2011-12-23 |
Genre | : Mathematics |
ISBN | : 3110250365 |
Download Lectures on the Topology of 3-Manifolds Book in PDF, ePub and Kindle
Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highlights of this period was Casson's λ-invariant that was instrumental in proving the vanishing of the Rohlin invariant of homotopy 3-spheres. The proof of the three-dimensional Poincaré conjecture has rendered this application moot but hardly made Casson's contribution less relevant: in fact, a lot of modern day topology, including a multitude of Floer homology theories, can be traced back to his λ-invariant. The principal goal of this book, now in its second revised edition, remains providing an introduction to the low-dimensional topology and Casson's theory; it also reaches out, when appropriate, to more recent research topics. The book covers some classical material, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It then proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and concludes with a brief overview of recent developments. The book will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic and differential topology, including the fundamental group, basic homology theory, transversality, and Poincaré duality on manifolds.