Let $q$ be a variable instead of a complex number$number, write $q=1+t$ with $t$ also a variable, and complete with respect to the $t$-adic topology. This gives you a formal deformation of the coordinate algebra of the sphere in the sense of Gerstenhaber---this is not tautological: it follows from the fact that the deformation is flat.
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Let $q$ be a variable instead of a complex number$, write $q=1+t$ with $t$ also a variable, and complete with respect to the $t$-adic topology. This gives you a formal deformation of the coordinate algebra of the sphere in the sense of Gerstenhaber---this is not tautological: it follows from the fact that the deformation is flat. |
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