Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821851896
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Focusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.
Author: Richard G. Swan
Publisher: Springer
ISBN: 3540363122
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Author: Robert Ray Bruner
Publisher:
ISBN: 9781470403836
Category : Finite groups
Languages : en
Pages : 144
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Book Description
Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Author: Michael Keogh
Publisher:
ISBN:
Category : Algebraic Number Theory
Languages : en
Pages : 130
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Book Description
We study the relationship between Euler classes in connective K-theory of certain metacyclic groups and Eulerian periods living in algebraic number fields. The division of these Euler classes living in connective K-Theory map into a subgroup of the cyclotomic units in the algebraic number fields. With the use of algebraic number theory we further the computations in connective K-theory for certain cases.
Author: Wolfgang Lück
Publisher: Springer
ISBN: 3540468277
Category : Mathematics
Languages : en
Pages : 455
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Book Description
The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.
Author: Christian Ausoni
Publisher: American Mathematical Soc.
ISBN: 0821891456
Category : Mathematics
Languages : en
Pages : 314
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Book Description
This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.
Author: Dilip Kumar Bayen
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
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Book Description
Author: Vasudevan Srinivas
Publisher: Springer Science & Business Media
ISBN: 1489967354
Category : Science
Languages : en
Pages : 328
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Book Description
Author: Peter B Gilkey
Publisher: World Scientific
ISBN: 9813220805
Category : Mathematics
Languages : en
Pages : 508
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Book Description
This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group.This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved.
