45 citations · 323 across the 58 of their papers we have counts for
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Operations on Cyclic Homology, the X Complex, and a Conjecture of Deligne
Masoud Khalkhali
The goal of this article is to relate recent developments in cyclic homology theory with the theory of operads and homotopical algebra, and hence to provide a general framework to…
Cyclic Homology of DG Coalgebras and a Kuenneth Formula
Masoud Khalkhali
In this note we extend the cyclic homology functor, and in particular the periodic cyclic homology, to the category of DG (= differential graded) coalgebras. We are partly motivate…
Homology of L_{\infty}-Algebras and Cyclic Homology
Masoud Khalkhali
A classical result of Loday-Quillen and Tsygan states that the Lie algebra homology of the algebra of stable matrices over an associative algebra is isomorphic, as a Hopf algebra,…
On Cyclic Homology of A_{\infty} Algebras
Masoud Khalkhali
We present an approach to cyclic homology of A_{\infty} algebras. Our main technical tool is the concept of X-complex due to Cuntz and Quillen. This, in particular, enables us to c…