# Quantum principal bundles on projective bases

## TL;DR

This paper introduces a sheaf-theoretic framework for quantum principal bundles over non-affine bases, focusing on the quantization of bundles over semisimple groups and parabolic subgroups.

## Contribution

It presents a novel sheaf-theoretic approach to quantum principal bundles on non-affine bases, expanding the understanding of their quantization over complex group structures.

## Key findings

- Developed a sheaf-theoretic model for quantum principal bundles
- Quantized bundles over semisimple groups and parabolic subgroups
- Provided new insights into non-affine base quantum geometry

## Abstract

The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum principal bundles over non affine bases. We study the quantization of principal bundles G -> G/P, where G is a semisimple group and P a parabolic subgroup.