Alibris: Homology theory

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1	An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves more books like this by Joachim Kock, Israel Vainsencher add to wishlist This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. ... see all copies from $22.39! new only from $22.39! \| first editions
2	Morse Homology more books like this by Matthias Schwarz add to wishlist This book presents a link between modern analysis and topology. Based upon classical Morse theory, it develops the finite dimensional analogue of Floer homology which, in the recent years, has come to play a significant role in geometry. Morse homology naturally arises from the gradient dynamical system associated with a Morse function. The ... see all copies from $38.18! new only from $38.18! \| SVS
3	Gauss Sums, Kloosterman Sums, and Monodromy Groups more books like this by Nicholas M Katz add to wishlist see all copies from $1.99! new only from $4.63! \| first editions
4	Homology theory : an introduction to algebraic topology more books like this by Peter John Hilton add to wishlist This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject. see all copies from $9.25! new only from $49.12! \| first editions \| SVS
5	Strong Shape and Homology more books like this by Sibe Mardesic add to wishlist Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong ... see all copies* from $83.97! new only from $90.00! \| first editions \| SVS
6	Homology theory an introduction to algebraic topology more books like this by Vick add to wishlist This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology. The essentials of singular homology are given in the ... see all copies from $33.00! new only from $44.61! \| first editions \| SVS
7	Cyclic Homology more books like this by Jean-Louis Loday add to wishlist 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. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie ... see all copies from $96.61! new only from $96.61! \| SVS
8	Supersymmetry and Equivariant de Rham Theory more books like this by Victor W. Guillemin, Shlomo Sternberg add to wishlist Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Bruning and V.W. Guillemin. The point of departure are two relatively short but very remarkable papers be Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie". These papers are reproduced here, ... see all copies from $50.04! new only from $50.04! \| first editions \| SVS
9	Local Cohomology and Its Applications more books like this by Gennady Lyubeznik, Lybeznik Lybeznik, Gennady Lybeznik (Editor) add to wishlist This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related ... see all copies from $19.95! new only from $86.39!
10	Computational Homology more books like this by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek add to wishlist Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. Following this is a section containing extensions ... see all copies from $68.81! new only from $68.81! \| first editions \| SVS
11 view cover	An Introduction to Algebraic Topology more books like this by Andrew H Wallace add to wishlist This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, after which the text proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. Exercises form an integral part of the text. 1961 edition. see all copies from $7.02! new only from $7.02! \| first editions
12 view cover	Profinite Groups, Arithmetic, and Geometry more books like this by Stephen S. Shatz add to wishlist see all copies from $15.40! new only from $61.14! \| first editions \| SVS
13 view cover	Seminar on the Atiyah-Singer Index Theorem more books like this by Richard S Palais add to wishlist see all copies from $17.00! new only from $27.21! \| first editions \| SVS
14 view cover	Algebraic Topology--Homotopy and Homology more books like this by Robert M Switzer add to wishlist From the reviews:"The author has attempted an ambitious and most commendable project. He assumes only a modest knowledge of algebraic topology on the part of the reader to start with, and he leads the reader systematically to the point at which he can begin to tackle problems in the current areas of research centered around generalized homology ... see all copies from $39.99! new only from $48.62! \| first editions \| SVS
15 view cover	Cohomological Induction and Unitary Representations (PMS-45) more books like this by Dr. Anthony W Knapp, David A Vogan, Jr. add to wishlist This book offers a systematic treatment - the first in book form - of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary ... see all copies from $40.00! new only from $55.00!
16 view cover	Intersection Cohomology more books like this by Armand Borel add to wishlist This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that ... see all copies from $27.77! new only from $27.77! \| first editions \| SVS
17 view cover	Homology of Linear Groups more books like this by Kevin P Knudson add to wishlist The text traces the homology theory of linear groups from the fundamental work of Quillen, Suslin, van der Kallen and others to recent results on rank one groups. A chapter on the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete is also included. This marks the first time that these results have been ... see all copies from $66.09! new only from $72.00! \| SVS
18 view cover	Combinatorial Foundation of Homology and Homotopy; Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions more books like this by Hans J Baues add to wishlist 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 ... see all copies from $117.46! new only from $117.46! \| first editions \| SVS
19 view cover	Brauer Groups and the Cohomology of Graded Rings more books like this by F Van Oystaeyen, Stefaan Caenepeel add to wishlist see all copies from $87.75! new only from $168.54! \| SVS
20 view cover	Cohomology operations and applications in homotopy theory more books like this by Robert E. Mosher, Martin C. Tangora add to wishlist Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful ... see all copies from $5.48! new only from $8.09! \| SVS
21 view cover	Monopoles and Three-Manifolds more books like this by Peter Kronheimer, Tomasz Mrowka add to wishlist Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry, and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, ... see all copies from $94.95! new only from $115.00! \| SVS
22 view cover	Weil Conjectures, Perverse Sheaves and L'Adic Fourier Transform more books like this by Reinhardt Kiehl, Rainer Weissauer add to wishlist In this book the authors describe the important generalization of the original Weil conjectures, as given by P.Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf ... see all copies from $145.26! new only from $145.26! \| SVS
23 view cover	Bivariant Periodic Cyclic Homology more books like this by Christian Groenbaek, Christian Grnbk, Christian Gronbaek add to wishlist Recent work by Cuntz and Quillen on bivariant periodic cyclic homology has caused quite a revolution in the subject. In this self-contained exposition, the author's purpose is to understand the functorial properties of the Cuntz-Quillen theory, which motivates his explorations of what he calls cyclic pro-homology. Simply stated, the cyclic pro ... see all copies from $26.41! new only from $82.00! \| first editions
24 view cover	Topology of Singular Spaces and Constructible Sheaves more books like this by Jorg Schurmann add to wishlist Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces. The ... see all copies from $46.81! new only from $60.00! \| first editions \| SVS
25 view cover	The Heart of Cohomology more books like this by Goro Kato add to wishlist If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D ... see all copies from $93.83! new only from $93.83! \| first editions \| SVS

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