dorsal/arxiv
View SchemaQuantum geometry of field extensions
| Authors | S. Majid |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9706026 |
| URL | https://arxiv.org/abs/q-alg/9706026 |
Abstract
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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"abstract": "We show that noncommutative differential forms on $k[x]$, $k$ a field, are of\nthe form $\\Omega^1=k_\\lambda[x]$ where $k_\\lambda\\supset k$ is a field\nextension. We compute the case $C\\supset R$ explicitly, where $\\Omega^1$ is\n2-dimensional. We study the induced quantum de Rahm complex, its cohomology and\nthe associated moduli space of flat connections.",
"arxiv_id": "q-alg/9706026",
"authors": [
"S. Majid"
],
"categories": [
"q-alg",
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"title": "Quantum geometry of field extensions",
"url": "https://arxiv.org/abs/q-alg/9706026"
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