The Dehn twist on a sum of two K3 surfaces

被引：0
作者：
Kronheimer, P. B. [1 ]
Mrowka, T. S. [2 ]
机构：
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
[2] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2020年 / 27卷 / 06期
基金：
美国国家科学基金会;
关键词：
STABLE COHOMOTOPY REFINEMENT; SEIBERG-WITTEN INVARIANTS; FAMILIES; ISOTOPY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Ruberman gave the first examples of self-diffeomorphisms of four-manifolds that are isotopic to the identity in the topological category but not smoothly so. We give another example of this phenomenon, using the Dehn twist along a 3-sphere in the connected sum of two K3 surfaces.
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收藏
页码：1767 / 1783
页数：17
相关论文
共 21 条
  • [1] Baraglia D., 2019, ARXIV190803970
  • [2] Baraglia D., 2019, ARXIV190301649
  • [3] Baraglia D., 2019, ARXIV190703949
  • [4] A gluing formula for families Seiberg-Witten invariants
    Baraglia, David
    Konno, Hokuto
    [J]. GEOMETRY & TOPOLOGY, 2020, 24 (03) : 1381 - 1456
  • [5] A stable cohomotopy refinement of Seiberg-Witten invariants: I
    Bauer S.
    Furuta M.
    [J]. Inventiones mathematicae, 2004, 155 (1) : 1 - 19
  • [6] Bauer S, 2004, INVENT MATH, V155, P21, DOI 10.1007/s00222-003-0289-4
  • [7] Cerf Jean, 1961, B SOC MATH FRANCE, V89, P227
  • [8] ON THE HOMOTOPY-THEORY OF SIMPLY CONNECTED 4 MANIFOLDS
    COCHRAN, TD
    HABEGGER, N
    [J]. TOPOLOGY, 1990, 29 (04) : 419 - 440
  • [9] Furuta M, 2001, MATH RES LETT, V8, P279
  • [10] The stable mapping class group of simply connected 4-manifolds
    Giansiracusa, Jeffrey
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 617 : 215 - 235
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