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Monopoles On 3 Manifolds
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Book Synopsis Monopoles and Three-Manifolds by : Peter Kronheimer
Download or read book Monopoles and Three-Manifolds written by Peter Kronheimer and published by . This book was released on 2007-12-20 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Monopoles and Three-manifolds by : P. B. Kronheimer
Download or read book Monopoles and Three-manifolds written by P. B. Kronheimer and published by . This book was released on 2007 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monopoles and Three-Manifolds by : Peter Kronheimer
Download or read book Monopoles and Three-Manifolds written by Peter Kronheimer and published by Cambridge University Press. This book was released on 2010-11-25 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Monopoles and Three-manifolds by : Kronheimer P B Mrowka Tomasz
Download or read book Monopoles and Three-manifolds written by Kronheimer P B Mrowka Tomasz and published by . This book was released on 2014-05-14 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Book Synopsis Monopoles on 3-manifolds by : Ian McAllister
Download or read book Monopoles on 3-manifolds written by Ian McAllister and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetic Monopoles and Hyperbolic Three-manifolds by : Peter J. Braam
Download or read book Magnetic Monopoles and Hyperbolic Three-manifolds written by Peter J. Braam and published by . This book was released on 1987 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monopoles on 3-manifolds by : Stuart James Jarvis
Download or read book Monopoles on 3-manifolds written by Stuart James Jarvis and published by . This book was released on 1994 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on the Topology of 3-Manifolds by : Nikolai Saveliev
Download or read book Lectures on the Topology of 3-Manifolds written by Nikolai Saveliev and published by Walter de Gruyter. This book was released on 2011-12-23 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Magnetic Monopoles on Three-manifolds by : P. J. Braam
Download or read book Magnetic Monopoles on Three-manifolds written by P. J. Braam and published by . This book was released on 1987 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monopoles on 3-manifold by : Ian Gerard McAllister
Download or read book Monopoles on 3-manifold written by Ian Gerard McAllister and published by . This book was released on 1995 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monopoles and Three-Manifolds ICM Edition by : Peter Kronheimer
Download or read book Monopoles and Three-Manifolds ICM Edition written by Peter Kronheimer and published by . This book was released on 2010-07-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seiberg-Witten Monopoles on Three-manifolds by : Bai-Ling Wang
Download or read book Seiberg-Witten Monopoles on Three-manifolds written by Bai-Ling Wang and published by . This book was released on 1997 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bordered Heegaard Floer Homology by : Robert Lipshitz
Download or read book Bordered Heegaard Floer Homology written by Robert Lipshitz and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Book Synopsis The Geometry and Dynamics of Magnetic Monopoles by : Michael Francis Atiyah
Download or read book The Geometry and Dynamics of Magnetic Monopoles written by Michael Francis Atiyah and published by Princeton University Press. This book was released on 2014-07-14 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical. This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity. Originally published in 1988. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Monopoles and Dehn Twists on Contact 3-manifolds by : Juan Álvaro Muñoz Echániz
Download or read book Monopoles and Dehn Twists on Contact 3-manifolds written by Juan Álvaro Muñoz Echániz and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we study the isotopy problem for a certain three-dimensional contactomorphism which is supported in a neighbourhood of an embedded 2-sphere with standard characteristic foliation. The diffeomorphism which underlies it is the Dehn twist on the sphere, and therefore its square becomes smoothly isotopic to the identity. The main result of this dissertation gives conditions under which any iterate of the Dehn twist along a non-trivial sphere is not contact isotopic to the identity. This provides the first examples of exotic contactomorphisms with infinite order in the contact mapping class group, as well as the first examples of exotic contactomorphisms of 3-manifolds with b_1 = 0. The proof crucially relies on the construction of an invariant for families of contact structures in monopole Floer homology which generalises the Kronheimer--Mrowka--Ozsváth--Szabó contact invariant, together with the nice interaction between this families invariant and the U map in Floer homology.
Book Synopsis Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory by : Chris Wendl
Download or read book Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory written by Chris Wendl and published by Cambridge University Press. This book was released on 2020-03-26 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's recent extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings. Based on a series of lectures for graduate students in topology, this book begins with an overview of the closed case, and then proceeds to explain the essentials of Siefring's intersection theory and how to use it, and gives some sample applications in low-dimensional symplectic and contact topology. The appendices provide valuable information for researchers, including a concise reference guide on Siefring's theory and a self-contained proof of a weak version of the Micallef–White theorem.
Book Synopsis Partial Compactification of Monopoles and Metric Asymptotics by : Chris Kottke
Download or read book Partial Compactification of Monopoles and Metric Asymptotics written by Chris Kottke and published by American Mathematical Society. This book was released on 2022-11-10 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
