Seiberg-Witten Monopoles on Three-manifolds PDF Download
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Author: Bai-Ling Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 140
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Author: Bai-Ling Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 140
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Book Description
Author: Peter Kronheimer
Publisher:
ISBN: 9780521880220
Category : Mathematics
Languages : en
Pages : 796
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Book Description
This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten equations. Suitable for beginning graduate students and researchers in the field, this book provides a full discussion of a central part of the study of the topology of manifolds.
Author: P. B. Kronheimer
Publisher:
ISBN: 9780511374876
Category :
Languages : en
Pages : 796
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Book Description
Author: Kronheimer P B Mrowka Tomasz
Publisher:
ISBN: 9780511379093
Category : Mathematics
Languages : en
Pages : 810
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Book Description
This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Author: Peter Kronheimer
Publisher: Cambridge University Press
ISBN: 9780521184762
Category : Mathematics
Languages : en
Pages : 808
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Book Description
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: Liviu I. Nicolaescu
Publisher: American Mathematical Soc.
ISBN: 0821821458
Category : Mathematics
Languages : en
Pages : 504
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Book Description
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: Matilde Marcolli
Publisher: Springer
ISBN: 9386279002
Category : Mathematics
Languages : en
Pages : 224
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Author: Peter Bouwknegt
Publisher: Springer Science & Business Media
ISBN: 1461200679
Category : Mathematics
Languages : en
Pages : 213
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Book Description
In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics, represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action functionals together with physical backgrounds (A. Harris) * A review of monopoles in nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students, mathematicians and mathematical physicists in the above-mentioned areas will benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient background material motivates each chapter.
Author: Paul Feehan
Publisher: American Mathematical Soc.
ISBN: 147041421X
Category : Cobordism theory
Languages : en
Pages : 228
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Book Description
The authors prove an analogue of the Kotschick–Morgan Conjecture in the context of monopoles, obtaining a formula relating the Donaldson and Seiberg–Witten invariants of smooth four-manifolds using the -monopole cobordism. The main technical difficulty in the -monopole program relating the Seiberg–Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible monopoles, namely the moduli spaces of Seiberg–Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of monopoles. In this monograph, the authors prove—modulo a gluing theorem which is an extension of their earlier work—that these intersection pairings can be expressed in terms of topological data and Seiberg–Witten invariants of the four-manifold. Their proofs that the -monopole cobordism yields both the Superconformal Simple Type Conjecture of Moore, Mariño, and Peradze and Witten's Conjecture in full generality for all closed, oriented, smooth four-manifolds with and odd appear in earlier works.
Author: Yi-Jen Lee
Publisher:
ISBN:
Category : Morse theory
Languages : en
Pages : 284
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Book Description
