Quantum geometry of field extensions

S. Majid

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arXiv · q-alg/9706026

Quantum geometry of field extensions

S. Majid

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Abstract

We show that noncommutative differential forms on $k[x]$, $k$ a field, are of the form $Ω^1=k_λ[x]$ where $k_λ\supset k$ is a field extension. We compute the case $C\supset R$ explicitly, where $Ω^1$ is 2-dimensional. We study the induced quantum de Rahm complex, its cohomology and the associated moduli space of flat connections.

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S. Majid. 1997-07-01. Quantum geometry of field extensions. https://arxiv.org/abs/q-alg/9706026

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