Obstruction Theory
Author: H. J. Baues
Publisher: Springer
Published: 2006-11-15
Total Pages: 398
ISBN-13: 3540359796
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Author: H. J. Baues
Publisher: Springer
Published: 2006-11-15
Total Pages: 398
ISBN-13: 3540359796
DOWNLOAD EBOOKAuthor: Kenji Fukaya
Publisher: American Mathematical Soc.
Published: 2010-06-21
Total Pages: 426
ISBN-13: 0821852507
DOWNLOAD EBOOKThis is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.
Author: Edwin H. Spanier
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 502
ISBN-13: 1468493221
DOWNLOAD EBOOKThis book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.
Author: Edwin Henry Spanier
Publisher:
Published: 1992
Total Pages: 55
ISBN-13:
DOWNLOAD EBOOKAuthor: Edwin Henry Spanier
Publisher:
Published: 1966
Total Pages: 68
ISBN-13:
DOWNLOAD EBOOKAuthor: Robert E. Mosher
Publisher: Courier Corporation
Published: 2008-01-01
Total Pages: 226
ISBN-13: 0486466647
DOWNLOAD EBOOKCohomology 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 for computation. 1968 edition.
Author: Giora Dula
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 97
ISBN-13: 0821825895
DOWNLOAD EBOOKObstruction theoretic methods are introduced into isovariant homotopy theory for a class of spaces with group actions; the latter includes all smooth actions of cyclic groups of prime power order. The central technical result is an equivalence between isovariant homotopy and specific equivariant homotopy theories for diagrams under suitable conditions. This leads to isovariant Whitehead theorems, an obstruction-theoretic approach to isovariant homotopy theory with obstructions in cohomology groups of ordinary and equivalent diagrams, and qualitative computations for rational homotopy groups of certain spaces of isovariant self maps of linear spheres. The computations show that these homotopy groups are often far more complicated than the rational homotopy groups for the corresponding spaces of equivariant self maps. Subsequent work will use these computations to construct new families of smooth actions on spheres that are topologically linear but differentiably nonlinear.
Author: Martin Arkowitz
Publisher: Springer Science & Business Media
Published: 2011-07-25
Total Pages: 352
ISBN-13: 144197329X
DOWNLOAD EBOOKThis is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.
Author: H. J. Baues
Publisher:
Published: 2014-01-15
Total Pages: 404
ISBN-13: 9783662180686
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1906
Total Pages: 922
ISBN-13:
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