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Grid Homology for Knots and Links, Peter S. Ozsvath, Andras I. Stipsicz, Zoltan Szabo


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Автор: Peter S. Ozsvath, Andras I. Stipsicz, Zoltan Szabo
Название:  Grid Homology for Knots and Links
ISBN: 9781470417376
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470417375
Обложка/Формат: Hardback
Страницы: 410
Вес: 0.00 кг.
Дата издания: 30.11.2015
Серия: Mathematical surveys and monographs
Язык: English
Иллюстрации: Illustrations
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Geometry,Topology
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Поставляется из: Англии
Описание: Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams.

Singular Homology Theory

Автор: W.S. Massey
Название: Singular Homology Theory
ISBN: 1468492330 ISBN-13(EAN): 9781468492330
Издательство: Springer
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Цена: 65210.00 T
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Описание: The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. Singular homology and cohomology theory has been the subject of a number of textbooks in the last couple of decades, so the basic outline of the theory is fairly well established.

Morse Homology

Автор: Schwarz
Название: Morse Homology
ISBN: 3034896883 ISBN-13(EAN): 9783034896887
Издательство: Springer
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Цена: 74530.00 T
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Описание: 1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley`s continuation principle. 1.1.1 Classical Morse Theory The fact that Morse theory can be formulated in a homological way is by no means a new idea.

Graphs, Surfaces and Homology

Автор: Giblin
Название: Graphs, Surfaces and Homology
ISBN: 0521766656 ISBN-13(EAN): 9780521766654
Издательство: Cambridge Academ
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Цена: 83430.00 T
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Описание: This is an undergraduate level introduction to homology that will appeal to students interested in the application of algebra to geometrical problems, specifically the study of surfaces (sphere, torus, Mobius band, Klein bottle). Numerous examples and exercises are included, making this an ideal text either for teaching or for self-study.

Combinatorial Foundation of Homology and Homotopy

Автор: Hans-Joachim Baues
Название: Combinatorial Foundation of Homology and Homotopy
ISBN: 3642084478 ISBN-13(EAN): 9783642084478
Издательство: Springer
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Цена: 111760.00 T
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Описание: In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.

Mod Two Homology and Cohomology

Название: Mod Two Homology and Cohomology
ISBN: 3319093533 ISBN-13(EAN): 9783319093536
Издательство: Springer
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Цена: 55890.00 T
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Описание: Mod Two Homology and Cohomology

Cyclic homology

Автор: Loday, Jean-louis
Название: Cyclic homology
ISBN: 3642083161 ISBN-13(EAN): 9783642083167
Издательство: Springer
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Цена: 102480.00 T
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Описание: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology.

Strong Shape and Homology

Автор: Sibe Mardesic
Название: Strong Shape and Homology
ISBN: 3642085466 ISBN-13(EAN): 9783642085468
Издательство: Springer
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Цена: 102480.00 T
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Описание: Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."

Lectures on Functor Homology

Автор: Franjou Vincent
Название: Lectures on Functor Homology
ISBN: 3319213040 ISBN-13(EAN): 9783319213040
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.

Symplectic Topology and Floer Homology

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 110707245X ISBN-13(EAN): 9781107072459
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Published in two volumes, this is the first book to provide a systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov`s pseudoholomorphic curve theory.

Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)

Автор: Akbulut Selman, McCarthy John D.
Название: Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)
ISBN: 0691607516 ISBN-13(EAN): 9780691607511
Издательство: Wiley
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Цена: 31680.00 T
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Описание:

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques.

Originally published in 1990.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Computational Homology

Автор: Kaczynski
Название: Computational Homology
ISBN: 0387408533 ISBN-13(EAN): 9780387408538
Издательство: Springer
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Цена: 93160.00 T
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Описание: Uses the computer to take a combinatorial computational approach to homological problems. This interdisciplinary book is aimed at researchers and students in mathematics, computer science, nonlinear dynamics, and engineering.


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