English

Operations on Cyclic Homology, the X Complex, and a Conjecture of Deligne

Quantum Algebra 2009-10-31 v2

Abstract

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 define and study operations in cyclic homology theory.

Keywords

Cite

@article{arxiv.math/9810139,
  title  = {Operations on Cyclic Homology, the X Complex, and a Conjecture of Deligne},
  author = {Masoud Khalkhali},
  journal= {arXiv preprint arXiv:math/9810139},
  year   = {2009}
}

Comments

One crucial new reference is added. Comments in the introduction about the previous attempts to prove Deligne's conjecture is corrected. To appear in Communications in Mathematical Physics. This is a mildly revised version of the original preprint that was announced on December 1996