# An Introduction to Geometric Quantization and Witten's Quantum Invariant

**Authors:** Kadri \.Ilker Berktav

arXiv: 1902.10813 · 2022-08-30

## TL;DR

This paper provides an accessible overview of the mathematical structures behind geometric quantization and Witten's quantum invariants, emphasizing their organization within topological quantum field theory.

## Contribution

It offers a conceptual introduction to the formalism and mathematical foundations of geometric quantization and Witten's invariants in a clear, expository manner.

## Key findings

- Clarifies the mathematical structures of geometric quantization.
- Explains the organization of Witten's invariants within TQFT.
- Provides foundational insights for further research in quantum topology.

## Abstract

This note, in a rather expository manner, serves as a conceptional introduction to the certain underlying mathematical structures encoding the geometric quantization formalism and the construction of Witten's quantum invariants, which is in fact organized in the language topological quantum field theory.

## Full text

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## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/1902.10813/full.md

## References

21 references — full list in the complete paper: https://tomesphere.com/paper/1902.10813/full.md

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Source: https://tomesphere.com/paper/1902.10813