Algebraic structures on valuations, their properties and applications

Details Algebraic structures on valuations, their properties and applications Algebraic structures on valuations, their properties and applications

2003-04-22

arxiv.org/abs/math/0304338v1

Proceedings of the ICM, Beijing 2002, vol. 2, 757--764

Mathematics

Metric Geometry

Scientific paper

We describe various structures of algebraic nature on the space of continuous
valuations on convex sets, their properties (like versions of Poincar\'e
duality and hard Lefschetz theorem), and their relations and applications to
integral geometry.

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