Download PDF 4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf
You may not have to be doubt regarding this 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf It is simple way to get this book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf You can merely see the established with the link that we offer. Here, you can acquire the book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf by on-line. By downloading and install 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf, you can discover the soft documents of this book. This is the local time for you to begin reading. Also this is not printed publication 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf; it will precisely provide even more perks. Why? You could not bring the published book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf or stack guide in your residence or the office.
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf
Download PDF 4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf
4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf. The industrialized technology, nowadays assist everything the human requirements. It consists of the daily tasks, works, office, entertainment, and also much more. One of them is the excellent website link and also computer system. This problem will reduce you to assist one of your pastimes, checking out routine. So, do you have willing to review this publication 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf now?
Well, e-book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf will make you closer to just what you want. This 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf will certainly be constantly great close friend whenever. You could not forcedly to always complete over checking out a book in brief time. It will certainly be simply when you have spare time as well as investing few time to make you feel satisfaction with what you check out. So, you could obtain the definition of the message from each sentence in guide.
Do you understand why you need to review this site and also just what the connection to reading e-book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf In this contemporary era, there are numerous methods to obtain guide and also they will certainly be a lot simpler to do. Among them is by getting guide 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf by online as just what we inform in the web link download. The book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf can be a choice considering that it is so appropriate to your need now. To obtain the e-book on-line is very easy by just downloading them. With this possibility, you could read the e-book wherever and whenever you are. When taking a train, awaiting checklist, as well as awaiting someone or various other, you can read this online book 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf as a good buddy once more.
Yeah, checking out a publication 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf could include your pals lists. This is just one of the formulas for you to be successful. As known, success does not suggest that you have wonderful points. Comprehending and also knowing greater than various other will provide each success. Beside, the message as well as impression of this 4-Manifolds And Kirby Calculus (Graduate Studies In Mathematics), By Andras I. Stipsicz Robert E. Gompf can be taken and picked to act.
The past two decades have brought explosive growth in 4-manifold theory. 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. 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 research. 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 300 illustrations and numerous exercises with solutions in the book.
- Sales Rank: #1479345 in Books
- Brand: Brand: American Mathematical Society
- Published on: 1999-08-31
- Released on: 1999-08-01
- Original language: English
- Dimensions: 10.50" h x 7.50" w x 1.25" l, 2.56 pounds
- Binding: Hardcover
- 558 pages
- Used Book in Good Condition
Review
This book is important and valuable in that both gives a comprehensive and accessible picture of an area which has developed rapidly in the past 20 years and also provides readers with techniques to begin research in the field. The book is pedagogically very strong, with many examples and exercises. The material will not go out of date, and however the field may develop in the future, this will be an important reference for many years to come. --Bulletin of the London Mathematical Society
This book gives an excellent introduction into the theory of -manifolds and can be strongly recommended to beginners in this field ... carefully and clearly written; the authors have evidently paid great attention to the presentation of the material ... contains many really pretty and interesting examples and a great number of exercises; the final chapter is then devoted to solutions of some of these ... this type of presentation makes the subject more attractive and its study easier. --European Mathematical Society Newsletter
A complete record of the folklore related to handle calculus ... All of the mathematical statements are given in absolutely precise language, and the notation and terminology used are well chosen ... a very comprehensive book ... Most low-dimensional topologists will want to have access to this as a reference book ... any student ... will be rewarded with a thorough understanding of this fascinating field. --Bulletin of the AMS
From the Publisher
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.
Zentralblatt f\"ur Mathematik
Most helpful customer reviews
9 of 9 people found the following review helpful.
Extremely detailed overview of Kirby calculus
By Dr. Lee D. Carlson
Readers familiar with the proof of Stephen Smale's proof of the high-dimensional Poincare conjecture will know that handle calculus was employed in the proof. This book is an overview of Kirby calculus, which is essentially handle calculus in dimensions less than or equal to four.
Kirby calculus can be used to describe four-dimensional manifolds such as elliptic surfaces, and gives a pictorial description of its handle decomposition. Its utility lies further than this however, as Kirby calculus has been used to answer questions that would have been very difficult otherwise.
The book begins with a very quick overview of the algebraic topology and gauge theory of four-dimensional manifolds. Readers not familiar with this material will have to consult other books or papers on the subject.
Part two takes up Kirby calculus, and handle decompositions are described with examples given for disk bundles over surfaces and tori. Handle moves are employed as processes that allow one to go from one description of a manifold to another. Handlebody descriptions are given for spin manifolds, and more exotic topics, such as Casson handles and branched covers are treated.
Part 3 of the book uses techniques from algebraic geometry to describe branched covers of algebraic surfaces. Handle decompositions of Lefschetz fibrations are given, and its is shown that a Stein structure on a manifold is completely described by a handle diagram. There is also a thorough discussion of exotic structures on Euclidean 4-space. In spite of the non-constructive nature of these results, namely that no explicit example of an exotic structure is given, the discussion is a fascinating one and has recently been shown to be important in physics.
The reader will no doubt attempt many of the exercises; the solutions of some of these given in the back of the book. The book serves well the needs of those dedicated individuals who are interested in specializing in low-dimensional topology. In addition, physicists interested in these ideas couuld benefit from its reading, although some of the results may seem a little heavy-handed and abtruse at times.
5 of 16 people found the following review helpful.
Complexity is the name...
By Darunee Suwannakoon
If you really into mathematics, this book is for you. It contains comprehensive explanation of the Kirby calculas. The complexity of this book require graduate level mathematics knowleadge as a prerequisite. It describes in the detail of a closed 4-manifold which admits a finite decomposition into geometric pieces of finite volume. It also consider the homotopy types of closed 4-manifolds which are Seifert fibred or which are the total spaces of bundles with base and fibre closed aspherical surfaces.
3 of 11 people found the following review helpful.
Review
By Francisco A. Doria
Actually I was looking for loose ends - things that do not appear in Scorpan's _The Wild World of 4-Manifolds_, like the Buzaca construction of exotic R4s, or the construction of an ``universal'' R4, and I found it it Gompf's book.
(In fact I'm interested in exotic forcing-generic R4s and their import, if any, in General Relativity. Truly wild beasts...)
Francisco Antonio Doria
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf PDF
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf EPub
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf Doc
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf iBooks
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf rtf
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf Mobipocket
4-Manifolds and Kirby Calculus (Graduate Studies in Mathematics), by Andras I. Stipsicz Robert E. Gompf Kindle
Tidak ada komentar:
Posting Komentar