Dirac Operators on Quantum Weighted Projective Spaces

Abstract

The quantum weighted projective algebras $\mathbb{C}[{\mathbb{WP}}_{k,l,q}]$ are coinvariant subalgebras of the quantum group algebra $\mathbb{C}[S{U}_{q,2}]$. For each pair of indices $k,l$, two $2$-summable spectral triples will be constructed. The first one is an odd spectral triple based on coinvariant spinors on $\mathbb{C}[S{U}_{q,2}]$. The second one is an even spectral triple.

Final Version, Algebras and Representation Theory

References in corpus (1)

• The Structure of Line Bundles over Quantum Teardrops