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 …

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

Bloch defined his higher Chow groups CHg (—, p) in [B], with the object of defining an
integral cohomology theory which rationally gives the weightgraded pieces Kp (—)(q) of iif …

Algebraic K-theory, A1 -homotopy and Riemann–Roch theorems Page 1 Journal of Topology
3 (2010) 229–264 Cо2010 London Mathematical Society doi:10.1112/jtopol/jtq005 Algebraic …

The notion of an oriented cohomology pretheory on algebraic varieties is introduced and a
Riemann-Roch theorem for ring morphisms between oriented pretheories is proved. An …

We present a practical, algebraic method for efficiently calculating the Yukawa couplings of
a large class of heterotic compactifications on Calabi-Yau three-folds with non-standard …

This preprint contains proofs of the results anounced in PS] in the part concerning the
construction of push-forwards for an oriented cohomology theory. One-toone …

We consider a filtration of the K-theory space for a regular noetherian ring proposed by
Goodwillie and Lichtenbaum and show that its successive quotients are geometric …

Algebraic 𝐾-theory via binary complexes Page 1 JOURNAL OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 25, Number 4, October 2012, Pages 1149–1167 S 0894-0347(2012)00743-7 …

It has long been suspected that the conjectural motivic cohomology groups of a smooth
variety X are related to the algebraic K-groups of X. Explicitly, it is expected that there is a …