Theory of valuations on manifolds: A survey

Semyon Alesker*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This is a non-technical survey of a recent theory of valuations on manifolds constructed in [A10], [A11], [AF] and [A12], and actually a guide to this series of articles. We also review some recent related results obtained by a number of people.

Original languageEnglish
Pages (from-to)1321-1341
Number of pages21
JournalGeometric and Functional Analysis
Issue number4
StatePublished - Nov 2007


  • Euler characteristic
  • Manifolds
  • Measures
  • Mixed volumes
  • Valuations


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