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 …

The cyclic homology of an exact category was defined by McCarthy (1994) using the
methods of Waldhausen (1985). McCarthy's theory enjoys a number of desirable properties …

We show that two flat differential graded algebras whose derived categories are equivalent
by a derived functor have isomorphic cyclic homology. In particular,'ordinary'algebras over a …

We show that supercocycles on super L∞-algebras capture, at the rational level, the twisted
cohomological charge structure of the fields of M-theory and of type IIA string theory. We …

A key open problem in M-theory is to explain the mechanism of “gauge enhancement”
through which M-branes exhibit the nonabelian gauge degrees of freedom seen …

Let M be a 1-connected closed manifold of dimension m and LM be the space of free loops
on MM Chas and D. Sullivan defined a structure of BV-algebra on the singular homology of …

In a previous paper, we introduced Mysterious Triality as an extension, via algebraic
topology in the form of rational homotopy theory, of Mysterious Duality by Iqbal, Neitzke, and …

We compute the $ L_\infty $-theoretic dimensional reduction of the F1/D $ p $-brane super $
L_\infty $-cocycles with coefficients in rationalized twisted K-theory from the 10d type IIA and …

In previous work, we introduced Mysterious Triality, extending the Mysterious Duality of
Iqbal, Neitzke, and Vafa between physics and algebraic geometry to include algebraic …

In recent years Connes' cyclic homology of associative algebras over a field of characteristic
zero [C] and its obvious extensions became a successful tool in various areas of …