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Thursday, November 19, 2020 | History

4 edition of Topics in Symplectic 4-Manifolds (First International Press Lecture Series, vol. 1) found in the catalog.

Topics in Symplectic 4-Manifolds (First International Press Lecture Series, vol. 1)

Ronald J. Stern

Topics in Symplectic 4-Manifolds (First International Press Lecture Series, vol. 1)

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  • 0 Currently reading

Published by International Press .
Written in English

    Subjects:
  • Topology,
  • Geometry - Differential,
  • Mathematics,
  • Science/Mathematics

  • The Physical Object
    FormatHardcover
    Number of Pages124
    ID Numbers
    Open LibraryOL12201616M
    ISBN 101571460195
    ISBN 109781571460196


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Topics in Symplectic 4-Manifolds (First International Press Lecture Series, vol. 1) by Ronald J. Stern Download PDF EPUB FB2

Topics in Symplectic 4-Manifolds ( re-issue) Paperback – September 1, by (Author), Ronald J. Stern (Editor) See all 2 formats and editions Hide other formats and editions.

Price New from Used from Hardcover "Please retry" $ $ Author: various. Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration.

Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one Author: G.

Tian, Fabrizio Catanese, Denis Auroux. Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one.

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, Topics in Symplectic 4-Manifolds book geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical Topics in Symplectic 4-Manifolds book Springer-Verlag Berlin Heidelberg.

Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. The authors present many. that the existence of symplectic structures on 4-manifolds depends in a subtle way on the differentiable structure of the 4-manifold.

To distinguish symplectic 4-manifolds from Kahler surfaces and from non-symplectic 4-manifolds¨ often requires the invariants derived from the theories of S. Donaldson [30, 31] and N. Seiberg.

Part I of the text presents the basics of the theory at the second-year graduate level and offers an overview of current research. Part II is devoted to an exposition of Kirby calculus, or handlebody theory on 4-manifolds.

It is both elementary and comprehensive. Part III offers in depth a broad range of topics from current 4-manifold s: 6. The Isotopy Problem for Symplectic 4-manifolds Stefano Vidussi Department of Mathematics, Kansas State University, Manhattan, KSUSA Abstract.

The purpose of this paper is to present some results on the existence of homologous, nonisotopic symplectic or lagrangian surfaces embedded in a simply connected symplectic 4-dimensional manifold. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces.

The authors present many important applications. The text is supplemented with over illustrations and numerous exercises, with solutions given in the book. topics in symplectic 4 manifolds re issue Posted By Leo TolstoyLibrary TEXT ID e8ab7 Online PDF Ebook Epub Library Topics In Symplectic 4 Manifolds Re Issue Various topics in symplectic 4 manifolds re issue paperback september 1 by author ronald j stern editor see all 2 formats and editions hide other formats and editions price new.

Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September(Lecture Notes in Mathematics Book ) th Edition, Kindle EditionManufacturer: Springer. Presents an exposition of Kirby calculus, or handle body theory on 4-manifolds.

This book includes such topics as branched coverings and the geography of complex. symplectic structure [13]. Thus, viewing 4-manifolds through the glasses of either a symplectic or complex geometer will not recover the full story. However, the amalgam of ideas from complex and symplectic geometry has provided surgical techniques that are useful in the study of smooth 4-manifolds.

4-manifolds can be thought of as a smooth generalization of complex 4-manifolds. The mids saw a number of developments which made symplectic 4-manifolds nat-ural candidates to be the building blocks of all smooth 4-manifolds.

Gompf showed that a basic cut-and-paste operation, a symplectic normal sum, could be performed on symplectic. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, \(h\)-cobordisms, symplectic 4-manifolds, and Stein surfaces.

Applications are featured, and there are over illustrations and numerous exercises with solutions in the book. An illustration of an open book. Books. An illustration of two cells of a film strip.

Video An illustration of an audio speaker. Symplectic 4-manifolds via Lorentzian geometry Item Preview remove-circle Topics Differential Geometry, Symplectic Geometry, Mathematics Publisher Collection. Get this from a library.

4-manifolds and Kirby calculus. or handle body theory on 4-manifolds. This book includes such topics as branched coverings and the geography of Cobordisms, h-cobordisms and exotic R[superscript 4]'s. Symplectic 4-manifolds. Stein surfaces --pt. Appendices. Solutions. 4 Manifolds And Kirby Calculus 4 Manifolds And Kirby Calculus by Robert E.

Gompf. Download it 4 Manifolds And Kirby Calculus books also available in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. This book offers an exposition of. I greatly recommend this wonderful book to any researcher in 4-manifold topology for the novel ideas, techniques, constructions, and computations on the topic, presented in a very fascinating way.

I think really that every student, mathematician, and researcher interested in 4-manifold topology, should own a copy of this beautiful book.3/5(1). From symplectic geometry to symplectic topology 10 Contact geometry and the Weinstein conjecture 13 Symplectic fillings of contact manifolds 19 Warm up: Holomorphic curves in Cn The main subject of these notes is a certain interplay between symplectic struc-tures and complex (or rather almost complex) structures on smooth.

4-Manifolds and Kirby Calculus About this Title. Robert E. Gompf, University of Texas, Austin, Austin, TX and András I. Stipsicz, ELTE, TTK, Budapest, Hungary. Publication: Graduate Studies in Mathematics Publication Year Volume 20 ISBNs: (print); (online).

Seiberg-Witten and Gromov invariants for symplectic 4-manifolds ( re-issue) Paperback – June 2, by Clifford Henry Taubes (Author), Richard Wentworth (Editor) See all formats and editions Hide other formats and editions. Price New from Used from Hardcover "Please retry" $ $ $ PaperbackAuthor: Clifford Henry Taubes.

They are also strongly related to PALF's on 4-manifolds with boundary, and there is an appropriate relative notion of a trisection restricting to an open book decomposition on the boundary. All this suggests that the next step forward is a proper notion of a symplectic trisection, and.

ISBN: OCLC Number: Description: xviii, pages: illustrations ; 24 cm. Contents: pt. Geometric Methods. J-curves and the classification of rational and ruled symplectic 4-manifolds / Francois Lalonde and Dusa McDuff. The five appendices of the book provide necessary background related to the classical theory of linear elliptic operators, Fredholm theory, Sobolev spaces, as well as a discussion of the moduli space of genus zero stable curves and a proof of the positivity of intersections of $J$-holomorphic curves in four dimensional manifolds.

4-Manifolds with a Symplectic Bias Ana Cannas da Silva Department of Mathematics, Princeton University, Princeton, NJUSA and Departamento de Matemática, Instituto Superior Técnico, Lisboa, Portugal Abstract.

This text reviews some state of the art and open questions on (smooth) 4-manifolds from. Buy 4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics) UK ed. by Robert E.

Gompf, Andras I. Stipsicz (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible s: 1. Symplectic 4-manifolds, singular plane curves, and isotopy problems. July4th European Congress of Mathematics, Stockholm (Sweden) Symplectic 4-manifolds, singular plane curves, and isotopy problems.

JulyConference on Symplectic Topology, Stare Jablonki (Poland) (2 lectures) Homological mirror symmetry for Fano surfaces. Seiberg-Witten and Gromov invariants for symplectic 4-manifolds book. Read reviews from world’s largest community for readers.

Four papers by C.H. Taubes. Buy 4-Manifolds and Kirby Calculus by Robert E Gompf, Andras I Stipsicz online at Alibris. We have new and used copies available, in 1 editions - starting at $ Shop now. The wild world of 4-manifolds. Scorpan, Alexandru. Amer. Mathematical Society pages $ Hardcover QA Billing his work as a pleasant-to-read global picture of the differential topology of dimension 4, the author is primarily concerned with smooth simply-connected, closed oriented 4-manifolds.

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.

Many books are currently appearing that approach the topic from viewpoints such as gauge theory or algebraic geometry. This volume, however, offers an exposition from a topological point of view. It bridges the gap to other disciplines and presents classical but important topological techniques that have not previously appeared in the literature.

Classifies symplectic actions of $2$-tori on compact connected symplectic $4$-manifolds, up to equivariant symplectomorphisms. This extends the results. In this thesis, we study certain questions related to linking of Lagrangian submanifolds in symplectic 4-manifolds. In Chapter 2, we study linking of Lagrangian tori in R^4.

Our main contribution is to prove that the linking properties of Lagrangian tori are closely connected to their enumerative geometry. : Seiberg-Witten and Gromov Invariants for Symplectic 4-manifolds (First International Press Lecture) () by Clifford H.

Taubes (Harvard University) and a great selection of similar New, Used and Collectible Books available now at great prices. Although the book is still centered on convexity theorems, it contains much more results, proofs and examples. Chapter I deals with Lie group actions on manifolds.

In Chapters II and III, symplectic geometry and Hamiltonian group actions are introduced. Over the past number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results.

The first edition of Introduction to Symplectic Topology was published in The book was the first comprehensive introduction to the subject and became a key text in the area. symplectic topology, with an emphasis on explicit geometric techniques and examples.

Time allowing, topics are expected to include: Symplectic linear algebra. Hamilton’s equations, cotangent bundles. Lagrangian subman-ifolds. Symplectic submanifolds.

Moser’s trick, Darboux and Weinstein neighbourhood theorems. Symplectic manifolds. We now give brief information for symplectic manifolds and their relations with complex structures.

Our references for this paragraph are [36] and []. A symplectic manifold is an even dimensional differentiable manifold M with a global 2–form Ω which is.

(John B. Etnyre, Mathematical Reviews, Issue k), From the reviews:"This book introduces the reader to modern trends in low-dimensional contact and symplectic geometry. … They also touch on and hint at many other interesting topics. This book is a .The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as.ABSTRACT In this proposal Baldridge investigates the topology of smooth 4-manifolds using gauge theory techniques.

The goals of the proposer are to find easier ways to calculate the Seiberg-Witten invariants of 4-manifolds, to provide new examples of symplectic 4-manifolds, and to better understand the topology of 4-manifolds which admit a circle action and symplectic form.