**Noncommutative neighborhoods and noncommutative Fourier transform
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Mikhail Kapranov

We will discuss the formalism of noncommutative formal neigborhoods of ordinary algebraic varieties and schemes, with special emphasis on the condition of smoothness. These concepts have a significance for a conjectural "noncommutative Fourier transform" which should identify a certain space of noncommutative functions of n variables with a certain space of usual functions on the space of paths in R^n.

*created Fri Mar 17 16:58:47 PST 2000
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