Noncommutative calculus and the Gauss-Manin connection
Quantum Algebra
2010-06-03 v2 K-Theory and Homology
Abstract
After an overview of noncommutative differential calculus, we construct parts of it explicitly and explain why this construction agrees with a fuller version obtained from the theory of operads.
Cite
@article{arxiv.0902.2202,
title = {Noncommutative calculus and the Gauss-Manin connection},
author = {V. Dolgushev and D. Tamarkin and B. Tsygan},
journal= {arXiv preprint arXiv:0902.2202},
year = {2010}
}
Comments
Formula in Proposition 2 corrected and the proof added, together with Lemma 2 (with thanks to Ezra Getzler for pointing out the problem in the original version). Reference to S. Barannikov's work [Bar] added