数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (6): 2257-2278.doi: 10.1007/s10473-022-0604-z

• 论文 • 上一篇    下一篇

THE MINIMAL GENUS PROBLEM—A QUARTER CENTURY OF PROGRESS

Josef G. DORFMEISTER1, Tian-Jun LI2   

  1. 1. Department of Mathematics, North Dakota State University, Fargo, ND 58102, USA;
    2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
  • 收稿日期:2022-06-30 出版日期:2022-12-25 发布日期:2022-12-16
  • 通讯作者: Tian-Jun LI, E-mail: tjli@math.umn.edu E-mail:tjli@math.umn.edu
  • 基金资助:
    The second author was supported by NSF (1611680).

THE MINIMAL GENUS PROBLEM—A QUARTER CENTURY OF PROGRESS

Josef G. DORFMEISTER1, Tian-Jun LI2   

  1. 1. Department of Mathematics, North Dakota State University, Fargo, ND 58102, USA;
    2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
  • Received:2022-06-30 Online:2022-12-25 Published:2022-12-16
  • Contact: Tian-Jun LI, E-mail: tjli@math.umn.edu E-mail:tjli@math.umn.edu
  • Supported by:
    The second author was supported by NSF (1611680).

摘要: This paper gives a survey of the progress on the minimal genus problem since Lawson’s [26] survey.

关键词: four manifolds, minimal genus, adjunction-type inequality, circle sum

Abstract: This paper gives a survey of the progress on the minimal genus problem since Lawson’s [26] survey.

Key words: four manifolds, minimal genus, adjunction-type inequality, circle sum

中图分类号: 

  • 57N13