Examples of Hodge Laplacians on quantum spheres
Alessandro Zampini
TL;DR
This paper introduces a family of Hodge operators on quantum SU(2) and its quantum two-sphere using a non canonical braiding, advancing the understanding of differential structures in quantum geometry.
Contribution
It presents a novel family of Hodge operators on quantum spheres constructed via a non canonical braiding, expanding the toolkit for quantum geometric analysis.
Findings
Defined new Hodge operators on quantum SU(2) and spheres
Demonstrated properties of these operators in quantum calculus
Extended the framework of quantum differential geometry
Abstract
Using a non canonical braiding over the 3d left covariant calculus we present a family of Hodge operators on the quantum SU(2) and its homogeneous quantum two-sphere.
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