Quantum Groups and Twisted Spectral Triples

TL;DR

This paper explores the integration of twisted spectral triples into quantum homogeneous spaces, exemplified by the quantum symplectic 4-sphere, to advance understanding of noncommutative geometric structures.

Contribution

It demonstrates how twisted spectral triples can be applied within quantum homogeneous spaces, providing a new perspective on noncommutative geometry.

Findings

Established a framework for twisted spectral triples on quantum spaces

Applied the framework to the quantum symplectic 4-sphere

Enhanced understanding of quantum symmetries in noncommutative geometry

Abstract

Through the example of the quantum symplectic 4-sphere, we discuss how the notion of twisted spectral triple fits into the framework of quantum homogeneous spaces.