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Dirac Operators on Quantum Weighted Projective Spaces
Published 25 Feb 2014 in math.QA, math-ph, and math.MP | (1402.6251v2)
Abstract: The quantum weighted projective algebras $\mathbb{C}[\mathbb{WP}{k,l,q}]$ are coinvariant subalgebras of the quantum group algebra $\mathbb{C}[SU{q,2}]$. 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 $\mathbb{C}[SU_{q,2}]$. The second one is an even spectral triple.
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