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math.DG2023
Differential Calculus over Graded Commutative Algebras and Vector Bundles with Inner Structures
Jacob Kryczka
In this note we highlight a common origin for many ubiquitous geometric structures, as well as several new ones by using only the functors of differential calculus in A.M Vinogrado…
math.DG2020
Functors of Differential Calculus in Diolic Algebras
Jacob Kryczka
We pose a new algebraic formalism for studying differential calculus in vector bundles. This is achieved by studying various functors of differential calculus over arbitrary graded…