Noncommutative calculus and the Gauss-Manin connection
V. Dolgushev, D. Tamarkin, B. Tsygan
TL;DR
This paper explores noncommutative differential calculus, constructing explicit parts of it and demonstrating its consistency with a more comprehensive operad-based framework.
Contribution
It provides explicit constructions in noncommutative calculus and links them to operad theory, clarifying their relationship.
Findings
Explicit parts of noncommutative calculus are constructed.
The constructed calculus aligns with operad-based theories.
The work enhances understanding of the Gauss-Manin connection in noncommutative settings.
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology