Monopoles and three-manifolds by P. B. Kronheimer

Cover of: Monopoles and three-manifolds | P. B. Kronheimer

Published by Cambridge University Press in Cambridge, New York .

Written in English

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  • Three-manifolds (Topology),
  • Homology theory.,
  • Seiberg-Witten invariants.,
  • Moduli theory.

Edition Notes

Includes bibliographical references (p. 779-784) and index.

Book details

StatementPeter Kronheimer, Tomasz Mrowka.
SeriesNew mathematical monographs -- 10
ContributionsMrowka, Tomasz.
LC ClassificationsQA613.2 .K76 2007
The Physical Object
Paginationxii, 796 p. :
Number of Pages796
ID Numbers
Open LibraryOL19704323M
ISBN 10052188022X
ISBN 109780521880220
LC Control Number2008297574

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Monopoles and Three-Manifolds (New Mathematical Monographs) 1st Edition. by Peter Kronheimer (Author), Tomasz Mrowka (Author) out of 5 stars 1 rating. ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Cited by: Monopoles and Three-Manifolds (New Mathematical Monographs) Reissue Edition. by Peter Kronheimer (Author) out of 5 stars 1 rating. ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Reviews: 1. Kronheimer and Mrowka's book is almost surely such a book. If you want to learn about Floer homology in the Seiberg–Witten context, you will do no better than to read Kronheimer and Mrowka's masterpiece Monopoles and Three-Manifolds.'Cited by:   Originating with Andreas Floer in the s, 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. Monopoles and Three-Manifolds by Peter Kronheimer,available at Book Depository with free delivery : Monopoles and Three-Manifolds.

[Peter Kronheimer; Tomasz Mrowka] -- A comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. This book provides a comprehensive treatment of Floer homology, based on.

As an page book on an intricate and difficult subject, it is admirably focused and coherent, with the final effect that the book seems small in comparison with what it contains.

The principal benefit conferred by considering the Seiberg-Witten equations, compactness, is explained at the start, in Chapter II. Monopoles and three-manifolds.

This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. For. Get this from a library. Monopoles and three-manifolds. [P B Kronheimer; Tomasz Mrowka] -- This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.

Introduction Definition. A topological space X is a 3-manifold if it is a second-countable Hausdorff space and if every point in X has a neighbourhood that is homeomorphic to Euclidean 3-space. Mathematical theory of 3-manifolds. The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is made in whether we are dealing with.

Get print book. No eBook available. Go to Google Play Now» Magnetic Monopoles and Hyperbolic Three-manifolds. Peter J. Braam. University of Oxford, - Magnetic monopoles - pages.

0 Reviews. What people are saying - Write a review. We haven't found any reviews in the usual places. Bibliographic information. Monopoles and Three-manifolds 作者: Kronheimer, Peter/ Mrowka, Tomasz 出版年: 页数: 定价: $ 丛书: New Mathematical Monographs ISBN: Besides his research articles, his writings include a book, with Simon Donaldson, on 4-manifolds, and a book with Mrowka on Seiberg–Witten–Floer homology, entitled "Monopoles and Three-Manifolds".

This book won the Doob Prize of the AMS. In he was an invited speaker at the International Congress of Mathematicians (ICM) in : Whitehead Prize (), Oberwolfach. The completion of hyperbolic three-manifolds obtained from ideal polyhedra.

54 The generalized Dehn surgery invariant. 56 Dehn surgery on the figure-eight Monopoles and three-manifolds book.

58 Degeneration of Monopoles and three-manifolds book structures. 61 Incompressible surfaces in the figure-eight knot complement. 71 Thurston — The Geometry and Topology of 3 File Size: 1MB. Doob Prize Peter Kronheimer and Tomasz Mrowka received the AMS Joseph Doob Prize at the th An-nual Meeting of the AMS in New Orleans in January They were honored for their book Monopoles and Three-Manifolds (Cambridge University Press, ).

Citation The study of three- and four-dimensional mani. Discover Book Depository's huge selection of Peter Kronheimer books online. Free delivery worldwide on over 20 million titles. We use cookies to give you the best possible experience.

Monopoles and Three-Manifolds ICM edition. Peter Kronheimer. 23 Jul Paperback. unavailable. Notify me. Monopoles and Three Manifolds.

New Mathematical. We compute the Pin (2)-equivariant monopole Floer homology for the class of plumbed 3-manifolds considered by Ozsváth and Szabó [18].We show that for these manifolds, the Pin (2)-equivariant monopole Floer homology can be calculated in terms of the Heegaard Floer/monopole Floer lattice complex defined by Némethi [15].Moreover, we prove that in such cases the ranks Cited by: 3.

Their book, Monopoles and Three Manifolds (Cambridge University Press) also garnered the Joseph Doob Prize of the AMS. He was appointed Singer Professor of Mathematics from to InMrowka received a Simons Fellowship in Mathematics. In he will give a plenary address at ICM18 in Rio de Janeiro.

Notes on Basic 3-Manifold Topology. Sometime in the 's I started writing a book on 3-manifolds, but got sidetracked on the algebraic topology books described elsewhere on this website. The little that exists of the 3-manifolds book (see below for a table of contents) is rather crude and unpolished, and doesn't cover a lot of material, but.

Dimension of monopoles on asymptotically conic 3-manifolds: Figure 1. Article in Bulletin of the London Mathematical Society 47(5) October with 12 Reads How we measure 'reads'Author: Chris Kottke. Project Euclid - mathematics and statistics online. On the Pin(2)-Equivariant Monopole Floer Homology of Plumbed 3-Manifolds Dai, Irving, The Michigan Mathematical Journal, ; Magnetic monopoles on three-manifolds Braam, Peter J., Journal of Differential Geometry, ; Dirac and Seiberg–Witten Monopoles Naber, Gregory L., ; Legendrian Cited by: Chapter 1) Geometry and three-manifolds (with front page, introduction, and table of contents), i–vii, 1–7 PDF PS ZIP TGZ Chapter 2) Elliptic and hyperbolic geometry, 9–26 PDF PS ZIP TGZ Chapter 3) Geometric structures on manifolds, 27–43 PDF PS ZIP TGZ.

Tomasz Mrowka is the Singer Professor of Mathematics at MIT and has been the Department Head of the MIT Mathematics Department since June His research interests focus on problems in differential geometry - differential topology of three and four dimensional manifolds- gauge theory, and knot theory.

His work combines analysis, geometry, and topology. The monopole category and invariants of bordered 3-manifolds Jonathan Bloom Massachusetts Institute of Technology [email protected] Joint work with John Baldwin Boston College [email protected] Janu Jonathan Bloom (MIT).

Then Four-manifold topology, and Three-manifolds and Floer theory collect references that cover the material discussed in part I and II of the book, including many more results that have not found space in the text.

The references on Non-abelian monopoles coverAuthor: Erion J. Clark, Matilde Marcolli. OPEN BOOK DECOMPOSITIONS OF 3-MANIFOLDS Since (p(aj))2 = 1 and o(an_x) ^ p(an), it follows that p'([A']) ¥= 1, and we are done.

Dropping the primes we see thatf~~x(A) is the connected binding of the open book decomposition of M lifted from that of S3 given by ß.

This completes the proof of Theorem 1. Applications. Corollary 1. The Geometry and Topology of Three-Manifolds by William P Thurston. Publisher: Mathematical Sciences Research Institute ISBN/ASIN: BN0KI Number of pages: Description: The author's intent is to describe the very strong connection between geometry and lowdimensional topology in a way which will be useful and accessible (with some effort) to.

INTRODUCTION TO 3-MANIFOLDS 5 The 3-torus is a 3-manifold constructed from a cube in R3. Let each face be identi ed with its opposite face by a translation (without twisting). You can imagine this as a direct extension from the 2-torus we are comfortable with.

If you were to sit inside of a 3-torus. Encyclopaedia Yearbook Hardcover English Book Three Shippin Of Islam Free Encyclopaedia Of Islam $ The Three Investigators Lot Of 28 Hardcover Books Alfred Hitchcock The Three.

cambridge university press Cambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo. Title: Author: veronicad Created Date: 12/13/ AM.

The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about figures and more than exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds. Book Series Name: Graduate Studies in Mathematics.

The answer is of course all but immediate: one generally fits knots (and links) into 3-manifolds, and, indeed, the book’s central fourth chapter has that as its exclusive focus.

Schultens says in her introduction that “[i]n Chapter 4 we catch a glimpse of the interaction of pairs of manifolds, specifically pairs of the form (3-manifold, 1. He was named a Guggenheim Fellow inand in received the Doob Prize with Peter B. Kronheimer for their book Monopoles and Three-Manifolds (Cambridge University Press, ).

In he gave a plenary lecture at the ICM in Rio de Janeiro, together with Peter : Veblen Prize (), Doob Prize (). G_2 monopoles are special solutions of the Yang-Mills-Higgs equation on G_2 manifolds, and Donaldson and Segal conjectures that one can construct invariants of noncompact G_2 manifolds by counting G_2 monopoles.

One of the first steps of achieving this goal is understanding the analytic behavior of these monopoles. Congratulations to Peter Kronheimer who won jointly with Tomasz Mrowka the AMS Joseph L. Doob Prize for their outstanding research book "Monopoles and Three-Manifolds", Cambridge University Press, that makes a seminal contribution to the research literature.

01/13/ Seiberg-Witten monopoles over a 3-manifold, and the di erential counts monopoles over the product of the 3-manifold with R. We review this construction in Section In [27], a surgery exact triangle is associated to a triple of surgeries on a knot in a 3-manifold (for a precursor in instanton Floer homology, see [11], 18]).

In Chapter 2, we. Welcome to the new INSPIRE. Learn more. Take the survey. Logarithmic Forms and Diophantine Geometry This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with 10 P.

Kronheimer and T. Mrowka Monopoles and Three-Manifolds 11 B. Bekka, P. de la Harpe and A. Algebraic Methods in Unstable Homotopy Theory This is a comprehensive up-to-date treatment of unstable homotopy.

The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. Let $X$ be a compact $4$-manifold, possibly with boundary.

Theorem of Kronheimer-Mrowka's book "Monopoles and Three-Manifolds" states Let $X' \\subset X$ be a. Lecture 4: Differentiable Manifolds (International Winter School on Gravity and Light ) - Duration: The WE-Heraeus International Winter School on .Department of Mathematics, University of Michigan, Ann Arbor, MichiganU.S.A.

Department of Pure Mathematics, University of Liverpool, P.O. BoxLiverpool Cited by: This book develops abstract homotopy theory from the categorical perspective w Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond Carlos Simpson / Cambridge University Press / / GBP

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