The product on smooth and generalized valuations

• Autores: Semyon Alesker
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 134, Nº 2, 2012, págs. 507-560
• Idioma: inglés
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• Resumen

  • The product of smooth valuations on manifolds is described in terms of differential forms, Gelfand transforms, and blow-up spaces. It is shown that the product extends partially to generalized valuations and corresponds geometrically to transversal intersections. This result is used to prove a general kinematic formula on compact rank one symmetric spaces.