Homology of Linear Groups, Kevin P. Knudson

Автор: Kaczynski
Название: Computational Homology
ISBN: 0387408533 ISBN-13(EAN): 9780387408538
Издательство: Springer
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Цена: 13974.00 р.
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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.

Автор: Schwarz
Название: Morse Homology
ISBN: 3034896883 ISBN-13(EAN): 9783034896887
Издательство: Springer
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Цена: 11179.00 р.
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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.

Автор: Banyaga Augustin, Hurtubise David
Название: Lectures on Morse Homology
ISBN: 1402026951 ISBN-13(EAN): 9781402026959
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs.The core material in this book includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists.

Автор: Loday, Jean-louis
Название: Cyclic homology
ISBN: 3642083161 ISBN-13(EAN): 9783642083167
Издательство: Springer
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Цена: 15372.00 р.
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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.

Автор: Steven R. Costenoble; Stefan Waner
Название: Equivariant Ordinary Homology and Cohomology
ISBN: 3319504479 ISBN-13(EAN): 9783319504476
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions.

Автор: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mr
Название: Computational Homology
ISBN: 1441923543 ISBN-13(EAN): 9781441923547
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing.

Автор: R.V. Gamkrelidze; Nikolai Saveliev; A. Vassiiev
Название: Invariants of Homology 3-Spheres
ISBN: 3642078494 ISBN-13(EAN): 9783642078491
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism.

Автор: P. Giblin
Название: Graphs, Surfaces and Homology
ISBN: 0412239000 ISBN-13(EAN): 9780412239007
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Many of the results of Chapter 9 do indeed generalize to higher dimensions (and the general machinery of simplicial homology theory is avai1able from earlier chapters) but I have confined myself to one example, namely the theorem that non-orientable closed surfaces do not embed in three-dimensional space.

Автор: Audin Michele
Название: Morse Theory and Floer Homology
ISBN: 1447154959 ISBN-13(EAN): 9781447154952
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Based on a graduate course, this introduction to modern methods of symplectic topology explains the solution of an important problem originating from classical mechanics: the `Arnold conjecture`. Presents building blocks of Floer homology and more.

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 110707245X ISBN-13(EAN): 9781107072459
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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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.