Our geometric concepts evolved first through the discovery of Non-Euclidean geometry. The
discovery of quantum mechanics in the form of the noncommuting coordinates on the phase …

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 …

This book examines the differential geometry of manifolds, loop spaces, line bundles and
groupoids, and the relations of this geometry to mathematical physics. Applications …

This is the second of two volumes which will provide an introduction to modern
developments in the representation theory of finite groups and associative algebras. The …

Co~ NEs has defined" cyclic homology groups" HC,(A) for any associative algebra A over a
field K of characteristic zero [-3] E4]. His construction has been studied and generalized by a …

Let [italic capital] G be a compact Lie group,[italic capitals] EG a contractible free [italic
capital] G-space and let [italic capitals] E~ G be the unreduced suspension of [italic capitals] …

Rational homotopy is a very powerful tool for differential topology and geometry. This text
aims to provide graduates and researchers with the tools necessary for the use of rational …

Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

The purpose of this paper is to explore the relationship between the cyclic homology and
cohomology theories of Connes [9-11], see also Loday and Quillen [20], and" IF equivariant …

Mathematical Physics Page 1 Co_ Math. Phys. 172, 223-262 (1995) Communications IΠ
Mathematical Physics © Springer-Verlag 1995 Algebraic Index Theorem Ryszard Nest1, Boris …