### Posts

### The Geometry of Mathematical Quantum Field Theory

33 Comments

/

This is the first chapter in a series on Mathematical Quantum Field Theory.The next chapter is 2. Spacetime.
1. Geometry
The geometry of physics…

### When Simple Geometry Unveils Deep Math

Introduction
It is a remarkable fact that consideration of very elementary concepts in geometry often leads quickly into deep and unexpected mathematical…

### How to Self Study Geometry: Pure Geometry

Geometry is one of the oldest parts of mathematics. It has been studied and advanced by the greatest minds humankind has to offer. It has been described…

### Higher Prequantum Geometry V: The Local Observables - Lie Theoretically

This article discusses how from the previous considerations naturally follow the concepts of local observables of local field theories and…

### Higher Prequantum Geometry IV: The Covariant Phase Space - Transgressively

The Euler-Lagrange ##p##-gerbes discussed in the previous article are singled out as being exactly the right coherent refinement…

### Higher Prequantum Geometry III: The Global Action Functional - Cohomologically

The previous article ended with the concept of classical locally variational field theories, of which a class of examples are…

### Higher Prequantum Geometry II: The Principle of Extremal Action - Comonadically

The previous article motivated the importance of considering "pre-quantum field theory" in between classical and quantum field…

### Higher Prequantum Geometry I: The Need for Prequantum Geometry

Before proceeding with discussion of the super p-brane sigma models, whose emergence from the superpoint I discussed in the previous article,…