What would be good introductory and follow-up references to understand the close ties between physics and geometry.
I'm a retired engineer with the math background to handle Shankar's Principles of Quantum Mechanics, but like most engineers my era, I know little of the fundamentals of set theory, group theory, topology, etc. Although you can't help picking up bits and pieces following a self-education route.
I guess I'm looking for an efficient roadmap through at least the critical fundamental theories/types of mathematics and physics that leads to a reasonable level of understanding of how calabi-yau manifolds generate/correspond to a particular physics. (Pardon my lack of proper terminology.)
Ideally, references would be aimed at newcomers, but not at an elementary level. And, as an engineer, it's nice to find a text that introduces the concepts first and then dives into the math.
This is my first time on this site. If I've misunderstood the nature of the questions allowed, I apologize.