Theory of Valuations on Manifolds: A Survey

被引:0
|
作者
Semyon Alesker
机构
[1] Tel Aviv University,Department of Mathematics
来源
关键词
Measures; Euler characteristic; valuations; mixed volumes; manifolds; 52B45 (57Rxx);
D O I
暂无
中图分类号
学科分类号
摘要
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.
引用
下载
收藏
页码:1321 / 1341
页数:20
相关论文
共 50 条
  • [41] Index theory in spaces of manifolds
    Johannes Ebert
    Mathematische Annalen, 2019, 374 : 931 - 962
  • [42] HODGE THEORY ON HYPERBOLIC MANIFOLDS
    MAZZEO, R
    PHILLIPS, RS
    DUKE MATHEMATICAL JOURNAL, 1990, 60 (02) : 509 - 559
  • [44] Calibrated manifolds and Gauge theory
    Akbulut, Selman
    Salur, Sema
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 625 : 187 - 214
  • [45] Hodge theory of SKT manifolds
    Cavalcanti, Gil R.
    ADVANCES IN MATHEMATICS, 2020, 374
  • [46] K-THEORY OF MANIFOLDS
    BRAEMER, JM
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 278 (04): : 237 - 240
  • [47] Morse theory for manifolds with boundary
    Borodzik, Maciej
    Nemethi, Andras
    Ranicki, Andrew
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2016, 16 (02): : 971 - 1023
  • [48] HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS
    汤冬梅
    钟同德
    邱春晖
    Acta Mathematica Scientia, 2012, 32 (02) : 586 - 604
  • [49] String Theory in Embeddings Manifolds
    Luiz C. L. Botelho
    International Journal of Theoretical Physics, 2010, 49 : 1886 - 1893
  • [50] Morse Theory on Banach Manifolds
    王体翔
    ActaMathematicaSinica, 1989, (03) : 250 - 262