Topological Characterization Of Stein Manifolds Of Dimension 2

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Stein Manifolds and Holomorphic Mappings

Author : Franc Forstnerič
Publisher : Springer Science & Business Media
ISBN 13 : 3642222501
Total Pages : 501 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Stein Manifolds and Holomorphic Mappings by : Franc Forstnerič

Download or read book Stein Manifolds and Holomorphic Mappings written by Franc Forstnerič and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.

Topology and Geometry of Manifolds

Author : Gordana Matic
Publisher : American Mathematical Soc.
ISBN 13 : 0821835076
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology and Geometry of Manifolds by : Gordana Matic

Download or read book Topology and Geometry of Manifolds written by Gordana Matic and published by American Mathematical Soc.. This book was released on 2003 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1961, the Georgia Topology Conference has been held every eight years to discuss the newest developments in topology. The goals of the conference are to disseminate new and important results and to encourage interaction among topologists who are in different stages of their careers. Invited speakers are encouraged to aim their talks to a broad audience, and several talks are organized to introduce graduate students to topics of current interest. Each conference results in high-quality surveys, new research, and lists of unsolved problems, some of which are then formally published. Continuing in this 40-year tradition, the AMS presents this volume of articles and problem lists from the 2001 conference. Topics covered include symplectic and contact topology, foliations and laminations, and invariants of manifolds and knots. Articles of particular interest include John Etnyre's, ``Introductory Lectures on Contact Geometry'', which is a beautiful expository paper that explains the background and setting for many of the other papers. This is an excellent introduction to the subject for graduate students in neighboring fields. Etnyre and Lenhard Ng's, ``Problems in Low-Dimensional Contact Topology'' and Danny Calegari's extensive paper,``Problems in Foliations and Laminations of 3-Manifolds'' are carefully selected problems in keeping with the tradition of the conference. They were compiled by Etnyre and Ng and by Calegari with the input of many who were present. This book provides material of current interest to graduate students and research mathematicians interested in the geometry and topology of manifolds.

Singularities and Low Dimensional Topology

Author : Javier Fernández de Bobadilla
Publisher : Springer Nature
ISBN 13 : 3031566114
Total Pages : 230 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Singularities and Low Dimensional Topology by : Javier Fernández de Bobadilla

Download or read book Singularities and Low Dimensional Topology written by Javier Fernández de Bobadilla and published by Springer Nature. This book was released on with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric topology

Author : William Hilal Kazez
Publisher : American Mathematical Soc.
ISBN 13 : 9780821806531
Total Pages : 500 pages
Book Rating : 4.8/5 (65 download)

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Book Synopsis Geometric topology by : William Hilal Kazez

Download or read book Geometric topology written by William Hilal Kazez and published by American Mathematical Soc.. This book was released on 1997 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the 1993 Georgia International Topology Conference held at the University of Georgia during the month of August. This work includes Kirby's problem list, which contains a description of the progress made on each of the problems and includes a bibliography. It is suitable for those interested in the many areas of topology.

Several Complex Variables and Complex Geometry, Part II

Author : Eric Bedford
Publisher : American Mathematical Soc.
ISBN 13 : 0821814907
Total Pages : 644 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Several Complex Variables and Complex Geometry, Part II by : Eric Bedford

Download or read book Several Complex Variables and Complex Geometry, Part II written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Geometry and Topology of Singularities II

Author : José Luis Cisneros-Molina
Publisher : Springer Nature
ISBN 13 : 3030780244
Total Pages : 581 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Handbook of Geometry and Topology of Singularities II by : José Luis Cisneros-Molina

Download or read book Handbook of Geometry and Topology of Singularities II written by José Luis Cisneros-Molina and published by Springer Nature. This book was released on 2021-11-01 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory and related topics. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

An Introduction to Contact Topology

Author : Hansjörg Geiges
Publisher : Cambridge University Press
ISBN 13 : 1139467956
Total Pages : 8 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis An Introduction to Contact Topology by : Hansjörg Geiges

Download or read book An Introduction to Contact Topology written by Hansjörg Geiges and published by Cambridge University Press. This book was released on 2008-03-13 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

Geometric Complex Analysis

Author : Jisoo Byun
Publisher : Springer
ISBN 13 : 9811316724
Total Pages : 359 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Geometric Complex Analysis by : Jisoo Byun

Download or read book Geometric Complex Analysis written by Jisoo Byun and published by Springer. This book was released on 2018-09-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Conformal Geometry of Discrete Groups and Manifolds

Author : Boris N. Apanasov
Publisher : Walter de Gruyter
ISBN 13 : 3110808056
Total Pages : 541 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Conformal Geometry of Discrete Groups and Manifolds by : Boris N. Apanasov

Download or read book Conformal Geometry of Discrete Groups and Manifolds written by Boris N. Apanasov and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Floer Homology, Gauge Theory, and Low-Dimensional Topology

Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 9780821838457
Total Pages : 318 pages
Book Rating : 4.8/5 (384 download)

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Book Synopsis Floer Homology, Gauge Theory, and Low-Dimensional Topology by : Clay Mathematics Institute. Summer School

Download or read book Floer Homology, Gauge Theory, and Low-Dimensional Topology written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2006 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such connections. Historically, these equations have come from mathematical physics, and play an important role in the description of the electro-weak and strong nuclear forces. The use of gauge theory as a tool for studying topological properties of four-manifolds was pioneered by the fundamental work of Simon Donaldson in theearly 1980s, and was revolutionized by the introduction of the Seiberg-Witten equations in the mid-1990s. Since the birth of the subject, it has retained its close connection with symplectic topology. The analogy between these two fields of study was further underscored by Andreas Floer's constructionof an infinite-dimensional variant of Morse theory that applies in two a priori different contexts: either to define symplectic invariants for pairs of Lagrangian submanifolds of a symplectic manifold, or to define topological This volume is based on lecture courses and advanced seminars given at the 2004 Clay Mathematics Institute Summer School at the Alfred Renyi Institute of Mathematics in Budapest, Hungary. Several of the authors have added a considerable amount of additional material tothat presented at the school, and the resulting volume provides a state-of-the-art introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds. Information for our distributors: Titles in this seriesare copublished with the Clay Mathematics Institute (Cambridge, MA).

Introduction to Symplectic Topology

Author : Dusa McDuff
Publisher : Oxford University Press
ISBN 13 : 9780198504511
Total Pages : 500 pages
Book Rating : 4.5/5 (45 download)

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Book Synopsis Introduction to Symplectic Topology by : Dusa McDuff

Download or read book Introduction to Symplectic Topology written by Dusa McDuff and published by Oxford University Press. This book was released on 1998 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first edition of this book quickly became an established text in this fast-developing branch of mathematics. This second edition has been significantly revised and expanded. It includes a section on new developments and an expanded discussion of Taubes' and Donaldson's recent results.

New Perspectives and Challenges in Symplectic Field Theory

Author : Miguel Abreu
Publisher : American Mathematical Soc.
ISBN 13 : 0821870432
Total Pages : 355 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis New Perspectives and Challenges in Symplectic Field Theory by : Miguel Abreu

Download or read book New Perspectives and Challenges in Symplectic Field Theory written by Miguel Abreu and published by American Mathematical Soc.. This book was released on 2009 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, in honor of Yakov Eliashberg, gives a panorama of some of the most fascinating recent developments in symplectic, contact and gauge theories. It contains research papers aimed at experts, as well as a series of skillfully written surveys accessible for a broad geometrically oriented readership from the graduate level onwards. This collection will serve as an enduring source of information and ideas for those who want to enter this exciting area as well as for experts.

European Congress of Mathematics

Author : Carles Casacuberta
Publisher : Birkhäuser
ISBN 13 : 3034882661
Total Pages : 630 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis European Congress of Mathematics by : Carles Casacuberta

Download or read book European Congress of Mathematics written by Carles Casacuberta and published by Birkhäuser. This book was released on 2012-12-06 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician.

Several Complex Variables and Complex Geometry, Part I

Author : Eric Bedford
Publisher : American Mathematical Soc.
ISBN 13 : 0821814893
Total Pages : 280 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Several Complex Variables and Complex Geometry, Part I by : Eric Bedford

Download or read book Several Complex Variables and Complex Geometry, Part I written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contact and Symplectic Topology

Author : Frédéric Bourgeois
Publisher : Springer Science & Business Media
ISBN 13 : 3319020366
Total Pages : 538 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Contact and Symplectic Topology by : Frédéric Bourgeois

Download or read book Contact and Symplectic Topology written by Frédéric Bourgeois and published by Springer Science & Business Media. This book was released on 2014-03-10 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.

Global Differential Geometry

Author : Christian Bär
Publisher : Springer Science & Business Media
ISBN 13 : 3642228429
Total Pages : 520 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Global Differential Geometry by : Christian Bär

Download or read book Global Differential Geometry written by Christian Bär and published by Springer Science & Business Media. This book was released on 2011-12-18 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

Surgery on Contact 3-Manifolds and Stein Surfaces

Author : Burak Ozbagci
Publisher : Springer Science & Business Media
ISBN 13 : 366210167X
Total Pages : 279 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Surgery on Contact 3-Manifolds and Stein Surfaces by : Burak Ozbagci

Download or read book Surgery on Contact 3-Manifolds and Stein Surfaces written by Burak Ozbagci and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topologist’s point of view. In it, two main issues are addressed: what kind of sympletic and contact structures we can construct via surgery theory and what kind of sympletic and contact structures are not allowed via gauge theory and the newly invented Heegaard-Floer theory.