A classical complex analyst encounters a post-modern mathematical object.
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Algebraic K-Theory and Quadratic Forms.
J. MILNOR (1969/1970)
Inventiones mathematicae
Area preserving pl homeomorphisms and relations in
Peter Greenberg (1998)
Annales de l'institut Fourier
To any compactly supported, area preserving, piecewise linear homeomorphism of the plane is associated a relation in of the smallest field whose elements are needed to write the homeomorphism.Using a formula of J. Morita, we show how to calculate the relation, in some simple cases. As applications, a “reciprocity” formula for a pair of triangles in the plane, and some explicit elements of torsion in of certain function fields are found.
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