Quantum geometry of field extensions

Details Quantum geometry of field extensions Quantum geometry of field extensions

1997-06-19

arxiv.org/abs/q-alg/9706026v2

Mathematics

Quantum Algebra

Latex 19 pages no figures. Significant revision to give full moduli space of flat connections in Section 4

Scientific paper

We show that noncommutative differential forms on $k[x]$, $k$ a field, are of
the form $\Omega^1=k_\lambda[x]$ where $k_\lambda\supset k$ is a field
extension. We compute the case $C\supset R$ explicitly, where $\Omega^1$ 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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