Last edited by Mugore
Wednesday, July 15, 2020 | History

4 edition of Lectures on Low-Dimensional Topology (Monographs in Geometry & Topology) found in the catalog.

Lectures on Low-Dimensional Topology (Monographs in Geometry & Topology)

K. Johannson

Lectures on Low-Dimensional Topology (Monographs in Geometry & Topology)

by K. Johannson

  • 44 Want to read
  • 4 Currently reading

Published by International Press of Boston .
Written in English

    Subjects:
  • Topology,
  • Mathematics,
  • Science/Mathematics,
  • General

  • The Physical Object
    FormatHardcover
    Number of Pages239
    ID Numbers
    Open LibraryOL8731441M
    ISBN 101571460187
    ISBN 109781571460189

      Without question, low dimensional topology is among the most popular areas of mathematics these days. This is altogether reasonable on several counts, including the fact that it resonates with the world of our ordinary experience (at least to some extent: one doesn’t usually encounter the complement of the trefoil knot on the way to the mall), that it allows wonderful pictures . Low Dimensional Topology Hardcover – September 1, by Karoly Boroczky (Editor) See all formats and editions Hide other formats and editions. Price New from Format: Hardcover.

    Additional Physical Format: Online version: Low dimensional topology. Somerville, MA: International Press, © (OCoLC) Document Type: Book. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers.

    LECTURES ON OPEN BOOK DECOMPOSITIONS AND CONTACT STRUCTURES 3 Definition An abstract open book is a pair (Σ,φ) where (1) Σ is an oriented compact surface with boundary and (2) φ: Σ → Σ is a diffeomorphism such that φ neighborhood of ∂Σ is . Low dimensional topology normally refers to either 3 or 4 dimensional topology, and the techniques are quite different in each of these dimensions. – Cheerful Parsnip Mar 11 '14 at 1. Actually I am yet actually understand the subfields.


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Lectures on Low-Dimensional Topology (Monographs in Geometry & Topology) by K. Johannson Download PDF EPUB FB2

During the week of May, a conference on low-Dimensional Topology was held at the University of Tennessee, Knoxville. The Conference was devoted to a broad spectrum of topics in Low-Dimensional : Hardcover. Lectures on low-dimensional topology. During the week of May, a conference on low-Dimensional Topology was held at the University of Tennessee, Knoxville.

The Conference was devoted to a broad spectrum of topics in Low-Dimensional Topology. The Park City Mathematics Institute summer school in explored in depth the most exciting recent aspects of this interaction, aimed at a broad audience of both graduate students and researchers.

The present volume is based on lectures presented at the summer school on low-dimensional : $   The volume will be of use both to graduate students seeking to enter the field of low-dimensional topology and to senior researchers wishing to keep up with current developments.

The volume begins with notes based on a special lecture by John Milnor about the history of the topology. Selected Applications of Geometry to Low-Dimensional Topology About this Title.

Michael H. Freedman, University of California, San Diego, La Jolla, CA and Feng Luo, Rutgers University, New Brunswick, New Brunswick, NJ. Publication: University Lecture Series Publication Year Volume 1 ISBNs: (print); (online)Cited by: LECTURES ON CONTACT GEOMETRY IN LOW-DIMENSIONAL TOPOLOGY 5 x z y x y z Figure 3.

On the left is ξ2 = ker(dz− ydx) and on the right is ξ3 = ker(dz+ydx). These conditions are usually stated α∧dα>0 and α∧ dα. LECTURES ON OPEN BOOK DECOMPOSITIONS AND CONTACT STRUCTURES 3 Definition An abstract open book is a pair (Σ,φ) where (1) Σ is an oriented compact surface with boundary and (2) φ: Σ → Σ is a diffeomorphism such that φis the identity in a.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. best intuitive books/video lectures to read topology and functional analysis. Ask Question Asked 5 years, 10 months ago.

Active 5. This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.

Geometric topology is more motivated by objects it wants to prove theorems about. Geometric topology is very much motivated by low-dimensional phenomena -- and the very notion of low-dimensional phenomena being special is due to the existence of a big tool called the Whitney Trick, which allows one to readily convert certain problems in manifold theory into (sometimes quite complicated.

LMS: 48 Low Dimensional Topology (London Mathematical Society Lecture Note Series) 1st Edition by R. Brown (Author)Format: Paperback. : LMS: 95 Low Dimensional Topology (London Mathematical Society Lecture Note Series) (): Fenn, Roger: BooksFormat: Paperback.

These are lecture notes from the Clay Mathematics Institute summer school ``Floer Homology, Gauge Theory, and Low Dimensional Topology''.

The main goal of these notes is to sketch a proof of Giroux correspondence between open book decompositions of three manifolds and contact structures, and then discuss various applications of this correspondence.

in these lectures, Goda considers circle–valued Morse theory for link complements. He uses this theory to give obstructions to a knot being fibered. The main theme in Section 2 is contact geometry and its interplay with Floer homology. The lectures of John Etnyre give a detailed account of open book de.

A Concise Course in Algebraic Topology. University of Chicago Press, [$18] — Good for getting the big picture. Perhaps not as easy for a beginner as the preceding book. • G E Bredon. Topology and Geometry. Springer GTM[$70] — Includes basics on smooth manifolds, and even some point-set Size: 65KB.

With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.

Sample Chapter(s) Chapter 1: Basic Knots, Links and their Equivalences ( KB) Contents. This article sketches various ideas in contact geometry that have become useful in low-dimensional topology. Specifically we (1) outline the proof of Eliashberg and Thurston's results concerning.

Lectures on Contact Geometry in Low Dimensional Topology John Etnyre 1. Introduction Contact geometry has been a key tool in many recent advances in low-dimensional topology. For example contact geometry was an integral part in the following results: (1) Kronheimer and Mrowka’s proof that all non-trivial knots satisfy property P[32].

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. Topology *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. This book, the inaugural volume in the University Lecture Series, is based on lectures presented at Pennsylvania State University in February The lectures attempt to give a taste of the accomplishments of manifold topology over the last 30 years.

By the late s, algebra and topology had produced a successful and beautiful fusion.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.Title: Lectures on open book decompositions and contact structures Authors: John B.

Etnyre (Submitted on 21 Sep (v1), last revised 2 May (this version, v3))Cited by: