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 paper arose from our use of Chen's theory of iterated integrals asa tool in the study of
the complex of SX-equivariant differential forms on the free loop space LX of a manifold X …

Relative Algebraic K-Theory and Cyclic Homology Page 1 Annals of Mathematics, 124 (1986),
347-402 Relative algebraic K-theory and cyclic homology By THOMAS G. GOODWILLIE …

We give a definition of symplectic homology for pairs of filled Liouville cobordisms, and show
that it satisfies analogues of the Eilenberg–Steenrod axioms except for the dimension axiom …

If A0 and Ai are self-adjoint operators on 2 with the same spectrum (including multiplicities),
the spectral flow sf (A,, A,), introduced by Atiyah-Patodi-Singer[l], is the integer which counts …

DIFFERENTIAL FORMS ON LOOP SPACES AND THE CYCLIC BAR COMPLEX Ezra Getzler,
John DS Jones and Scott Petrack Dedicated to the m Page 1 DIFFERENTIAL FORMS ON LOOP …

arXiv:math/0002116v1 [math.KT] 15 Feb 2000 Page 1 arXiv:math/0002116v1 [math.KT] 15 Feb
2000 NONCOMMUTATIVE DIFFERENTIAL CALCULUS, HOMOTOPY BV ALGEBRAS AND …

In [3], Connes defines the notion of a theta-summable Fredholm module over a Banach
algebra A with identity. This consists of a Z,-graded Hilbert space H= H+ 0 H~ carrying a …

In their article [8] on cyclic homology, Feigin and Tsygan have given a spectral sequence for
the cyclic homology of a crossed product algebra, generalizing Burghelea's calculation [4] of …