Authors:Ib H. Madsen, Jxrgen Tornehave,
Publisher: Cambridge University Press
Keywords: cohomology, classes, characteristic, rham, calculus
Number of Pages: 296
Published: 1997-03-13
List price: $45.00
ISBN-10: 0521589568
ISBN-13: 9780521589567

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, Chern and Euler classes, Thom

Author: Author Unknown
Publisher: Academic Press
Keywords: cohomology, bundles, applied, vector, mathematics, rham, curvature, vol, connections, manifolds
Number of Pages: 443
Published: 1972-07-12
List price: $117.00
ISBN-10: 0123027012
ISBN-13: 9780123027016

Authors:Jon F. Carlson, L. Townsley, Luís Valero-Elizondo, Mu
Publisher: Springer
Keywords: groups, rings, cohomology, algebra, applications, dividing, appendix, finite, calculations, order
Number of Pages: 776
Published: 2003-10-31
List price: $129.00
ISBN-10: 1402015259
ISBN-13: 9781402015250

This text offers comprehensive coverage of group cohomology, from introductory material through the most recent developments in the field. The primary motivation for this book is the interaction of group cohomology with representation theory, especially the geometry of support varieties over cohomology rings. The appendices, comprising computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64, provide information useful for further developments in the field. A unique feature of this text is that it includes the concepts that are the subject of the calcula

Author: James S. Milne
Publisher: Princeton University Pre
Keywords: pms, cohomology, etale
Number of Pages: 344
Published: 1980-04-01
List price: $110.00
ISBN-10: 0691082383
ISBN-13: 9780691082387

Author: Edwin Weiss
Publisher: Academic Press Inc.,U.S.
Keywords: groups, cohomology
Number of Pages: 276
Published: 1969-12
List price: $21.95
ISBN-10: 0127427503
ISBN-13: 9780127427508

Author: Goro Kato
Publisher: Springer
Keywords: cohomology, heart
Number of Pages: 195
Published: 2006-11-14
List price: $135.00
ISBN-10: 1402050356
ISBN-13: 9781402050350

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-modules and of the computation of zeta functions of the Weierstrass family are provided.

Author: Jean-Pierre Serre
Publisher: Springer
Keywords: cohomology, galois
Number of Pages: 220
Published: 2001-11-28
List price: $69.95
ISBN-10: 3540421920
ISBN-13: 9783540421924

This is an updated English translation of Cohomologie Galoisienne, published more than 30 years ago as one of the very first Lecture Notes in Mathematics. It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.