Topological cyclic homology is a refinement of Connes–Tsygan's cyclic homology which
was introduced by Bökstedt–Hsiang–Madsen in 1993 as an approximation to algebraic K …

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 …

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] …

This volume introduces equivariant homotopy, homology, and cohomology theory, along
with various related topics in modern algebraic topology. It explains the main ideas behind …

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 …

Symplectic cohomology is an invariant of a certain kind of symplectic manifolds (open, or
with boundary). It is comparatively easy to define, being a variation on classical Hamiltonian …

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