Download Full eBooks in PDF
Monopoles And Three Manifolds Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Monopoles And Three Manifolds book. This book definitely worth reading, it is an incredibly well-written.
Author : P. B. Kronheimer
Publisher : Unknown
Page : 796 pages
File Size : 43,8 Mb
Release : 2007
Category : Electronic books
ISBN : 0511378203
This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Author : Kronheimer P B Mrowka Tomasz,P. B. Kronheimer,Tomasz Mrowka
Publisher : Unknown
Page : 810 pages
File Size : 52,6 Mb
Release : 2014-05-14
Category : Mathematics
ISBN : 0511379099
This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Author : Peter Kronheimer,Tomasz Mrowka
Publisher : Cambridge University Press
Page : 808 pages
File Size : 41,8 Mb
Release : 2010-11-25
Category : Mathematics
ISBN : 0521184762
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 : Peter Kronheimer,Tomasz Mrowka
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2010-07-23
Category : Electronic
ISBN : 0521170265
Author : Francesco Lin
Publisher : American Mathematical Soc.
Page : 162 pages
File Size : 47,5 Mb
Release : 2018-10-03
Category : Floer homology
ISBN : 9781470429638
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 : Helmut Hofer,Clifford H. Taubes,Alan Weinstein,Eduard Zehnder
Publisher : Birkhäuser
Page : 688 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034892179
Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main interests centered on the fields of dynamical systems, symplectic geometry, Yang-Mills theory and low dimensional topology. Motivated by the global existence problem of periodic solutions for Hamiltonian systems and starting from ideas of Conley, Gromov and Witten, he developed his Floer homology, providing new, powerful methods which can be applied to problems inaccessible only a few years ago. This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer. It then presents a collection of invited contributions, and survey articles as well as research papers on his fields of interest, bearing testimony of the high esteem and appreciation this brilliant mathematician enjoyed among his colleagues. Authors include: A. Floer, V.I. Arnold, M. Atiyah, M. Audin, D.M. Austin, S.M. Bates, P.J. Braam, M. Chaperon, R.L. Cohen, G. Dell' Antonio, S.K. Donaldson, B. D'Onofrio, I. Ekeland, Y. Eliashberg, K.D. Ernst, R. Finthushel, A.B. Givental, H. Hofer, J.D.S. Jones, I. McAllister, D. McDuff, Y.-G. Oh, L. Polterovich, D.A. Salamon, G.B. Segal, R. Stern, C.H. Taubes, C. Viterbo, A. Weinstein, E. Witten, E. Zehnder.
Author : Paul Feehan,Thomas G. Leness
Publisher : American Mathematical Soc.
Page : 228 pages
File Size : 53,8 Mb
Release : 2019-01-08
Category : Cobordism theory
ISBN : 9781470414214
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 : Nikolai Saveliev
Publisher : Walter de Gruyter
Page : 220 pages
File Size : 53,7 Mb
Release : 2011-12-23
Category : Mathematics
ISBN : 9783110250367
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.
Author : Liviu I. Nicolaescu
Publisher : American Mathematical Soc.
Page : 504 pages
File Size : 51,6 Mb
Release : 2000
Category : Four-manifolds (Topology)
ISBN : 9780821821459
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 : Toshiki Mabuchi
Publisher : CRC Press
Page : 244 pages
File Size : 50,9 Mb
Release : 2020-10-16
Category : Mathematics
ISBN : 9781000153446
This volume contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan - focusing on the study of moduli spaces of various geometric objects such as Einstein metrics, conformal structures, and Yang-Mills connections from algebraic and analytic points of view.;Written by over 15 authorities from around the world, Einstein Metrics and Yang-Mills Connections...: discusses current topics in Kaehler geometry, including Kaehler-Einstein metrics, Hermitian-Einstein connections and a new Kaehler version of Kawamata-Viehweg's vanishing theorem; explores algebraic geometric treatments of holomorphic vector bundles on curves and surfaces; addresses nonlinear problems related to Mong-Ampere and Yamabe-type equations as well as nonlinear equations in mathematical physics; and covers interdisciplinary topics such as twistor theory, magnetic monopoles, KP-equations, Einstein and Gibbons-Hawking metrics, and supercommutative algebras of superdifferential operators.;Providing a wide array of original research articles not published elsewhere Einstein Metrics and Yang-Mills Connections is for research mathematicians, including topologists and differential and algebraic geometers, theoretical physicists, and graudate-level students in these disciplines.
Author : Olivier Collin,Stefan Friedl,Cameron Gordon,Stephan Tillmann,Liam Watson
Publisher : American Mathematical Soc.
Page : 353 pages
File Size : 47,8 Mb
Release : 2020-12-14
Category : Education
ISBN : 9781470452094
This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2–6, 2018, at Université du Québec à Montréal, Montréal, Québec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.
Author : Hans U. Boden
Publisher : American Mathematical Soc.
Page : 368 pages
File Size : 53,5 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 0821871498
This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the many excellent talks delivered at the conference.
Author : S. G. Dani,Athanase Papadopoulos
Publisher : Springer Nature
Page : 759 pages
File Size : 53,9 Mb
Release : 2019-10-18
Category : Mathematics
ISBN : 9783030136093
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
Author : Chris Wendl
Publisher : Cambridge University Press
Page : 197 pages
File Size : 48,8 Mb
Release : 2020-03-26
Category : Mathematics
ISBN : 9781108497404
An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.
Author : Çağatay Kutluhan,Steven Sivek,C. H. Taubes
Publisher : American Mathematical Society
Page : 125 pages
File Size : 42,5 Mb
Release : 2022-02-02
Category : Mathematics
ISBN : 9781470450540
View the abstract.