The multiplicative structure on polynomial continuous valuations

Details The multiplicative structure on polynomial continuous valuations The multiplicative structure on polynomial continuous valuations

2003-01-14

arxiv.org/abs/math/0301148v2

Geom. Funct. Anal. 14 (2004), no. 1, 1--26.

Mathematics

Metric Geometry

28 pages, misprints, references

Scientific paper

We introduce a canonical structure of a commutative associative filtered
algebra with the unit on polynomial smooth valuations, and study its
properties. The induced structure on the subalgebra of translation invariant
smooth valuations has especially nice properties (it is the structure of the
Frobenius algebra). We also present some applications.

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