On the topology of some Sasaki-Einstein manifolds

被引:0
作者
Boyer, Charles P. [1 ]
Tonnesen-Friedman, Christina W. [2 ]
机构
[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA
[2] Union Coll, Dept Math, Schenectady, NY 12308 USA
来源
NEW YORK JOURNAL OF MATHEMATICS | 2015年 / 21卷
关键词
Sasaki-Einstein metrics; join construction; Hamiltonian; 2-form; DIFFEOMORPHISM CLASSIFICATION; HAMILTONIAN; 2-FORMS; KAHLER GEOMETRY; METRICS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This is a sequel to our forthcoming paper (J. Geom. Anal., 2015) in which we concentrate on developing some of the topological properties of Sasaki-Einstein manifolds. In particular, we explicitly compute the cohomology rings for several cases not treated in that paper, and give formula for homotopy equivalence as well as homeomorphism equivalence in one particular 7-dimensional case.
引用
收藏
页码:57 / 72
页数:16
相关论文
共 36 条
  • [1] Apostolov V, 2004, J DIFFER GEOM, V68, P277
  • [2] Hamiltonian 2-forms in Kahler geometry, III Extremal metrics and stability
    Apostolov, Vestislav
    Calderbank, DavidM. J.
    Gauduchon, Paul
    Tonnesen-Friedman, Christina W.
    [J]. INVENTIONES MATHEMATICAE, 2008, 173 (03) : 547 - 601
  • [3] Apostolov V, 2006, J DIFFER GEOM, V73, P359
  • [4] Apostolov V, 2008, ASTERISQUE, P93
  • [5] Boyer C.P., 2014, ARXIV14043999
  • [6] Boyer C. P, 2013, AFR DIASPORA J MATH, V14, P98
  • [7] Constructions in sasakian geometry
    Boyer, Charles P.
    Galicki, Krzysztof
    Ornea, Liviu
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2007, 257 (04) : 907 - 924
  • [8] Extremal Sasakian Geometry on S3-bundles over Riemann Surfaces
    Boyer, Charles P.
    Tonnesen-Friedman, Christina W.
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (20) : 5510 - 5562
  • [9] ON THE EQUIVALENCE PROBLEM FOR TORIC CONTACT STRUCTURES ON S3-BUNDLES OVER S2
    Boyer, Charles P.
    Pati, Justin
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2014, 267 (02) : 277 - 324
  • [10] Extremal Sasakian geometry on T2 x S3 and related manifolds
    Boyer, Charles P.
    Tonnesen-Friedman, Christina W.
    [J]. COMPOSITIO MATHEMATICA, 2013, 149 (08) : 1431 - 1456