Differential Calculus over Graded Commutative Algebras and Vector Bundles with Inner Structures

Autor:	Kryczka, Jacob
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematics - Commutative Algebra Primary 58A99 53A55 53C99 Secondary 13N99 53C80 55R15
Zdroj:	Contemporary Mathematics (AMS), Volume 789, (2023)
Druh dokumentu:	Working Paper
Popis:	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 Vinogradov's original sense, adapted to special classes of (graded) commutative algebras. Special attention is given to the particularly simple cases of diole and triole algebras and we show the latter environment is the appropriate one to describe calculus in vector bundles in the presence of a vector-valued fiber metric. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.04842 Zobrazit plný text záznamu View this record from Arxiv