On the equivariant formality of Kahler manifolds with torus group actions

被引:0
|
作者
Scull, Laura [1 ]
机构
[1] Univ British Columbia, Dept Math, Vancouver, BC V5Z 1M9, Canada
关键词
D O I
10.1007/s00209-007-0134-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider simply connected compact Kahler manifolds which have a holomorphic action of a torus group. We use the existing equivariant models for rational homotopy to show that these spaces satisfy an equivariant formality condition over the complex numbers.
引用
收藏
页码:547 / 562
页数:16
相关论文
共 50 条
  • [41] TORUS ACTIONS ON 5-MANIFOLDS AND 6-MANIFOLDS
    MCGAVRAN, D
    OH, HS
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (03) : 363 - 376
  • [42] ON THE BORDISM GROUP FOR GROUP ACTIONS ON THE TORUS
    Mann, Kathryn
    Nariman, Sam
    [J]. ANNALES DE L INSTITUT FOURIER, 2022, 72 (03) : 989 - 1009
  • [43] ON 4-MANIFOLDS WITH SINGULAR TORUS ACTIONS
    MELVIN, P
    [J]. MATHEMATISCHE ANNALEN, 1981, 256 (02) : 255 - 276
  • [44] Kahler manifolds with large isometry group
    Podestà, F
    Spiro, A
    [J]. OSAKA JOURNAL OF MATHEMATICS, 1999, 36 (04) : 805 - 833
  • [45] Torus actions on manifolds of positive sectional curvature
    Wilking, B
    [J]. ACTA MATHEMATICA, 2003, 191 (02) : 259 - 297
  • [46] A convexity theorem for torus actions on contact manifolds
    Lerman, E
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (01) : 171 - 184
  • [47] High rank torus actions on contact manifolds
    Gianluca Occhetta
    Eleonora A. Romano
    Luis E. Solá Conde
    Jarosław A. Wiśniewski
    [J]. Selecta Mathematica, 2021, 27
  • [48] High rank torus actions on contact manifolds
    Occhetta, Gianluca
    Romano, Eleonora A.
    Conde, Luis E. Sola
    Wisniewski, Jaroslaw A.
    [J]. SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (01):
  • [49] Equivariant formality of corank-one isotropy actions and products of rational spheres
    Jeffrey D. Carlson
    Chen He
    [J]. Mathematische Zeitschrift, 2023, 305
  • [50] Equivariant formality of corank-one isotropy actions and products of rational spheres
    Carlson, Jeffrey D.
    He, Chen
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (02)