Algebraic Topology, Aarhus 1978
Author: J. L. Dupont
Publisher: Springer
Published: 2006-11-15
Total Pages: 705
ISBN-13: 3540385207
DOWNLOAD EBOOKUniversity of Aarhus, 50. Anniversary, 11 September 1978
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Author: J. L. Dupont
Publisher: Springer
Published: 2006-11-15
Total Pages: 705
ISBN-13: 3540385207
DOWNLOAD EBOOKUniversity of Aarhus, 50. Anniversary, 11 September 1978
Author: I. Madsen
Publisher: Springer
Published: 2006-11-14
Total Pages: 674
ISBN-13: 354038782X
DOWNLOAD EBOOKAuthor: P. Hoffman
Publisher: Springer
Published: 2006-11-15
Total Pages: 668
ISBN-13: 3540350098
DOWNLOAD EBOOKAuthor: J. L. DuPont
Publisher:
Published: 2014-01-15
Total Pages: 708
ISBN-13: 9783662198384
DOWNLOAD EBOOKAuthor: Gunnar Carlsson
Publisher: Springer
Published: 2006-11-14
Total Pages: 469
ISBN-13: 3540461604
DOWNLOAD EBOOKThese are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and was conceived as a successor to the Aarhus conferences of 1978 and 1982. Some thirty papers are included in this volume, mostly at a research level. Subjects include cyclic homology, H-spaces, transformation groups, real and rational homotopy theory, acyclic manifolds, the homotopy theory of classifying spaces, instantons and loop spaces, and complex bordism.
Author: Karsten Grove
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 410
ISBN-13: 082182158X
DOWNLOAD EBOOKThis volume includes both survey and research articles on major advances and future developments in geometry and topology. Papers include those presented as part of the 5th Aarhus Conference - a meeting of international participants held in connection with ICM Berlin in 1998 - and related papers on the subject. This collection of papers is aptly published in the Contemporary Mathematics series, as the works represent the state of research and address areas of future development in the area of manifold theory and geometry. The survey articles in particular would serve well as supplemental resources in related graduate courses.
Author: Johan L. Dupont
Publisher:
Published: 1979
Total Pages: 695
ISBN-13:
DOWNLOAD EBOOKAuthor: Johan L. Dupont
Publisher:
Published: 1979
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Andrew Ranicki
Publisher: Springer
Published: 2006-11-14
Total Pages: 428
ISBN-13: 3540394133
DOWNLOAD EBOOKAuthor: Bjørn Ian Dundas
Publisher: Springer Science & Business Media
Published: 2012-09-06
Total Pages: 447
ISBN-13: 1447143930
DOWNLOAD EBOOKAlgebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ‘locally constant’. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ‘nearby’ calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology.