Local differential calculus over Fedosov algebra
Michal Dobrski
TL;DR
This paper develops a local differential calculus over Fedosov algebra using trivialization isomorphism, providing explicit formulas for deformed derivations, which can serve as foundational tools for noncommutative gauge theories.
Contribution
It introduces a new local differential calculus over Fedosov algebra with explicit formulas, enabling further development of noncommutative geometry and gauge theories.
Findings
Explicit formulas for deformed derivations provided
Calculus can be used as a building block for Seiberg-Witten map
Framework facilitates noncommutative gauge theory development
Abstract
In this paper the local differential calculus over Fedosov algebra is constructed using the trivialization isomorphism. The explicit formulas for deformed derivations are given. The resulting calculus can be used as a "building block" for a theory of Seiberg-Witten map with Fedosov type of noncommutativity.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology