Theory of valuations on manifolds: A survey

Semyon Alesker

doi:10.1007/s00039-007-0631-x

Theory of valuations on manifolds: A survey

Semyon Alesker^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	1321-1341
Number of pages	21
Journal	Geometric and Functional Analysis
Volume	17
Issue number	4
DOIs	https://doi.org/10.1007/s00039-007-0631-x
State	Published - Nov 2007

Keywords

Euler characteristic
Manifolds
Measures
Mixed volumes
Valuations

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10.1007/s00039-007-0631-x

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title = "Theory of valuations on manifolds: A survey",

abstract = "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.",

keywords = "Euler characteristic, Manifolds, Measures, Mixed volumes, Valuations",

author = "Semyon Alesker",

note = "Funding Information: Keywords and phrases: Measures, Euler characteristic, valuations, manifolds AMS Mathematics Subject Classification: 52B45 (57Rxx) Partially supported by ISF grant 1369/04.",

year = "2007",

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doi = "10.1007/s00039-007-0631-x",

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KW - Manifolds

KW - Measures

KW - Mixed volumes

KW - Valuations

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Theory of valuations on manifolds: A survey

Abstract

Keywords

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