The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-manifolds write by John W. Morgan. This book was released on 1996. The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-manifolds available in PDF, EPUB and Kindle. The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces.
4-Manifolds
4-Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 4-Manifolds write by Selman Akbulut. This book was released on 2016-09-22. 4-Manifolds available in PDF, EPUB and Kindle. This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs. The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations. Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.
Notes on Seiberg-Witten Theory
Notes on Seiberg-Witten Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Notes on Seiberg-Witten Theory write by Liviu I. Nicolaescu. This book was released on 2000. Notes on Seiberg-Witten Theory available 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.
Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds
Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds write by Clifford Taubes. This book was released on 2005. Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds available in PDF, EPUB and Kindle. On March 28-30, 1996, International Press, the National Science Foundation, and the University of California sponsored the First Annual International Press Lecture Series, held on the Irvine campus. This volume consists of four papers comprising the proof of the author's result relating the Seiberg-Witten and Gromov invariants of four manifolds.
Seiberg-Witten Equation and Topology of Symplectic Four Manifolds
Seiberg-Witten Equation and Topology of Symplectic Four Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Seiberg-Witten Equation and Topology of Symplectic Four Manifolds write by Tian-Jun Li. This book was released on 1996. Seiberg-Witten Equation and Topology of Symplectic Four Manifolds available in PDF, EPUB and Kindle.
