# A Note on Spectral Triples on the Quantum Disk

**Authors:** Slawomir Klimek, Matt McBride, John Wilson Peoples

arXiv: 1904.00272 · 2019-05-29

## TL;DR

This paper constructs spectral triples on the quantum disk by modifying previous methods to implement covariant derivations, advancing the understanding of noncommutative geometric structures.

## Contribution

It introduces a new approach to building spectral triples on the quantum disk using covariant derivations, extending prior work in noncommutative geometry.

## Key findings

- Spectral triples successfully constructed on the quantum disk.
- Method demonstrates compatibility with covariant derivations.
- Provides a framework for further noncommutative geometric analysis.

## Abstract

By modifying the ideas from our previous paper [SIGMA 13 (2017), 075, 26 pages, arXiv:1705.04005], we construct spectral triples from implementations of covariant derivations on the quantum disk.

## Full text

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## References

10 references — full list in the complete paper: https://tomesphere.com/paper/1904.00272/full.md

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Source: https://tomesphere.com/paper/1904.00272