PreprintCC BY 4.0arXiv
Quantum real projective spaces as quantum CW-complexes via topological graphs
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.
Related
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BibTeX
@misc{gothe2026quantum,
title = {{Quantum real projective spaces as quantum CW-complexes via topological graphs}},
author = {Atul Gothe},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02017},
eprint = {2610.02017},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02017},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum real projective spaces as quantum CW-complexes via topological graphs
AU - Atul Gothe
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.02017
UR - https://arxiv.org/abs/2610.02017
AB - 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.
ER -