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arXiv · 1701.04003

Combinatorial classification of quantum lens spaces

Peter Lunding Jensen·Frederik Ravn Klausen·Peter M. R. Rasmussen
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Abstract

We answer the question of how large the dimension of a quantum lens space must be, compared to the primary parameter $r$, for the isomorphism class to depend on the secondary parameters. Since classification results in C*-algebra theory reduces this question to one concerning a certain kind of $SL$-equivalence of integer matrices of a special form, our approach is entirely combinatorial and based on the counting of certain paths in the graphs shown by Hong and Szyma\'nski to describe the quantum lens spaces.

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Peter Lunding Jensen, Frederik Ravn Klausen, Peter M. R. Rasmussen. 2017-01-15. Combinatorial classification of quantum lens spaces. https://doi.org/10.2140/pjm.2018.297.339

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