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.
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44 - 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. (MN-44), Volume 44 write by John W. Morgan. This book was released on 2014-09-08. The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44 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.
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.
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-manifolds
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.
The Wild World of 4-Manifolds
The Wild World of 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 The Wild World of 4-Manifolds write by Alexandru Scorpan. This book was released on 2022-01-26. The Wild World of 4-Manifolds available in PDF, EPUB and Kindle. What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. —MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. — Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold—the intersection form—and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.
