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arXiv · 2610.02017

Quantum real projective spaces as quantum CW-complexes via topological graphs

Atul Gothe
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Abstract

We use the notion and properties of topological graphs to construct a quantum CW complex for quantum real projective spaces. This construction mirrors the CW complex construction in the classical case. Moreover, we introduce multipullback even-spheres as boundaries of noncommutative "cylinders" and show that they admit a gluing akin to the gluing of balls to the ends of a hollow closed cylinder.

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Atul Gothe. 2026-10-01. Quantum real projective spaces as quantum CW-complexes via topological graphs. https://arxiv.org/abs/2610.02017

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