# Curved Spaces: From Classical Geometries to Elementary

P. M. H. Wilson
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These developments have been influential for recent work in ‘ formal ’ noncommutative geometry, such as Maxim Kontsevich ’s “Formal (non)commutative symplectic geometry“ (1993), Joachim Cuntz and Daniel Quillen ’s ”Algebra extensions and nonsingularity“ (JAMS 1995) and Kontsevich-Rosenberg’s ”Noncommutative smooth spaces“ (cf. bibl. and quasi-free algebra ). See also Section 2 of my (old, but unfinished) manuscript: math.uga.edu/~pete/biconic.pdf. A collection of rules of the general nature of “if two knots are related in such and such a way, their corresponding algebraic entities are related in such and such a way”.
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