Theory of valuations on manifolds, III. Multiplicative structure in the general case
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- by Semyon Alesker and Joseph H. G. Fu PDF
- Trans. Amer. Math. Soc. 360 (2008), 1951-1981 Request permission
Abstract:
This is the third part of a series of articles where the theory of valuations on manifolds is constructed. In the second part of this series the notion of a smooth valuation on a manifold was introduced. The goal of this article is to put a canonical multiplicative structure on the space of smooth valuations on general manifolds, thus extending some of the affine constructions from the first author’s 2004 paper and, from the first part of this series.References
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Additional Information
- Semyon Alesker
- Affiliation: Department of Mathematics, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
- MR Author ID: 367436
- Email: semyon@post.tau.ac.il
- Joseph H. G. Fu
- Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
- Email: fu@math.uga.edu
- Received by editor(s): October 21, 2005
- Received by editor(s) in revised form: December 2, 2005
- Published electronically: November 27, 2007
- Additional Notes: The first author was partially supported by ISF grant 1369/04.
The second author was partially supported by NSF grant DMS-0204826. - © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 1951-1981
- MSC (2000): Primary 52B45, 52A39, 53C65
- DOI: https://doi.org/10.1090/S0002-9947-07-04489-3
- MathSciNet review: 2366970