THE EVOLUTION OF GEOMETRIC STRUCTURES ON 3-MANIFOLDS

被引:4
作者
McMullen, Curtis T. [1 ]
机构
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
基金
美国国家科学基金会;
关键词
HYPERBOLIC STRUCTURES; CONVERGENCE GROUPS; RICCI FLOW; CONJECTURE; KNOT; COMPLEMENTS; POLYNOMIALS; MANIFOLDS; POINCARE; SURFACES;
D O I
10.1090/S0273-0979-2011-01329-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper gives an overview of the geometrization conjecture and approaches to its proof.
引用
收藏
页码:259 / 274
页数:16
相关论文
共 50 条
  • [1] A new geometric flow on 3-manifolds: the K-flow
    Tasseten, Kezban
    Tekin, Bayram
    JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (10)
  • [2] Virtual properties of 3-manifolds
    Agol, Ian
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL I, 2014, : 141 - 170
  • [3] Gluing equations for real projective structures on 3-manifolds
    Samuel A. Ballas
    Alex Casella
    Geometriae Dedicata, 2021, 215 : 69 - 131
  • [4] Heegaard splittings of 3-manifolds
    Li, Tao
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II, 2014, : 1245 - 1257
  • [5] Gluing equations for real projective structures on 3-manifolds
    Ballas, Samuel A.
    Casella, Alex
    GEOMETRIAE DEDICATA, 2021, 215 (01) : 69 - 131
  • [6] Area-Minimizing Projective Planes in 3-Manifolds
    Bray, H.
    Brendle, S.
    Eichmair, M.
    Neves, A.
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2010, 63 (09) : 1237 - 1247
  • [7] THE SIMPLICIAL VOLUME OF CONTRACTIBLE 3-MANIFOLDS
    Bargagnati, Giuseppe
    Frigerio, Roberto
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 375 (05) : 3305 - 3323
  • [8] Non ambiguous structures on 3-manifolds and quantum symmetry defects
    Baseilhac, Stephane
    Benedetti, Riccardo
    QUANTUM TOPOLOGY, 2017, 8 (04) : 749 - 846
  • [9] A note on complete hyperbolic structures on ideal triangulated 3-manifolds
    Luo, Feng
    TOPOLOGY AND GEOMETRY IN DIMENSION THREE: TRIANGULATIONS, INVARIANTS, AND GEOMETRIC STRUCTURES, 2011, 560 : 19 - 26
  • [10] ON THE EXISTENCE OF TIGHT CONTACT STRUCTURES ON SEIFERT FIBERED 3-MANIFOLDS
    Lisca, Paolo
    Stipsicz, Andras I.
    DUKE MATHEMATICAL JOURNAL, 2009, 148 (02) : 175 - 209