Lecture notes on the Fundamental Structures of Differential Geometry

Abstract

This is the first part of the lecture notes that grew out of the special course given during the 2021-2022 academic year. In these lecture notes we present an approach to the fundamental structures of differential geometry that uses the vernacular of sheaves, differential operators and horizontal subbundles.

Chapter 1, 15 pages; the submission will be expanded when the course is over