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Monday, July 27, 2020 | History

3 edition of Geometry of low-dimensional manifolds found in the catalog.

Geometry of low-dimensional manifolds

Geometry of low-dimensional manifolds

proceedings of the Durham Symposium, July 1989

  • 77 Want to read
  • 6 Currently reading

Published by Cambridge University Press in Cambridge .
Written in English


Edition Notes

Statementedited by S.K. Donaldson, C.B. Thomas. 2, Symplectic manifolds and Jones-Witten theory.
SeriesLondon Mathematical Society lecture note series -- 151
ContributionsDonaldson, S. K., Thomas, C. B.
The Physical Object
Pagination242p. ;
Number of Pages242
ID Numbers
Open LibraryOL21502663M
ISBN 100521400015

of manifolds are the curves and the surfaces and these were quite well understood. B. Riemann was the first to note that the low dimensional ideas of his time were particular aspects of a higher dimensional world. The first chapter of this book introduces the reader to the concept of smooth manifold.   In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry.

In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic : $   to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester.

Formally, classifying manifolds is classifying objects up to are many different notions of "manifold", and corresponding notions of "map between manifolds", each of which yields a different category and a different classification question.. These categories are related by forgetful functors: for instance, a differentiable manifold is also a topological manifold, and a. Geometry (from the Ancient Greek: γεωμετρία; geo-"earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.. Geometry arose independently in a number of early cultures as a practical way for dealing with lengths.


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Geometry of low-dimensional manifolds Download PDF EPUB FB2

In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments.

Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic by:   Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry.

However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.

: Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory (London Mathematical Society Lecture Note Series) (): Donaldson, S. K.: BooksFormat: Paperback. This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics). The Geometry and Topology of Three-Manifolds Electronic version - March The intent is to describe the very strong connection between geometry and low-dimensional topology in a way which will be useful and accessible (with some effort) Thurston — The Geometry and Topology of 3-Manifolds iii.

Contents Introduction iiiFile Size: 1MB. This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research during the s, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics).5/5(2).

Topology of Low-Dimensional Manifolds It seems that you're in USA. We have a Mathematics Geometry & Topology. Lecture Notes in Mathematics. Free Preview Topology of Low-Dimensional Manifolds Book Subtitle Proceedings of the Second Sussex Conference, Editors.

Low-Dimensional Geometry book. Read 2 reviews from the world's largest community for readers. Ships from USA. Start by marking “Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots” as Want to Read: but is almost certainly a much better low-dimensional topologist than him.

Very good introduction to hyperbolic surfaces.3/5. This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics).Manufacturer: Cambridge University Press.

This book is not meant to be an introduction to either the theory of folia-tions in general, nor to the geometry and topology of 3-manifolds. An excellent reference for the first is [42] and [43]. Some relevant references for the second are [],[], [],and [].

Spiral of ideas. This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research during the s, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics).

These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics.

William P. Thurston The Geometry and Topology of Three-Manifolds Electronic version - March The intent is to describe the very strong connection between geometry and low-dimensional topology in a way which will be useful and accessible (with some effort) File Size: 4MB.

In the theme was Low-dimensional Topology The Cornell Topology Festival, held each May. The Lehigh Geometry/Topology Conference is held each summer at Lehigh Univ. The Wasatch Topology Conference, held twice each year. The Gokova Geometry/Topology Conference, held every 1 to 2 years. Knots in Washington, held twice each year in Washington.

to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester5/5(1).

The one which was historically the first to appear may be conditionally called local differential geometry which usually develops in a region of a Euclidean space. Cited by: 3. Get this from a library.

Geometry of Low-Dimensional Manifolds: Symplectic Manifolds and Jones-Witten Theory. Volume [S K Donaldson; C B Thomas;] -- This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

This area has been one of intense research recently, with major. "Differential geometry of curves and surfaces" by Do Carmo is a very good book; there are plenty of excellent books about manifolds. 3) A basic course on algebraic varieties require the use of algebra and differential calculus and gives example of spaces with pathological spaces.

Bonahon's new book Low-dimensional geometry is similar to Thurston's book but is perhaps a little gentler to the reader. For 4-manifolds, Kirby's The topology of 4-manifolds is a good start.

Gompf and Stipsicz 4-manifolds and kirby calculus gets you going from there. In: Low Dimensional Manifolds. Oberwolfach Reports Vol. 2 (). (non-refereed) The topic of my dissertation is geodesic links in the 3-sphere. Dissertation More Math Links. MathSciNet Search Thurston's notes Here you can download Thurston's notes "The Geometry and Topology of 3-Manifolds", from his course at Princeton.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 and hence.

""Low-Dimensional Geometry"" starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds.3/5(5).