Finite Group Actions on Spin Bundles

被引：1
|
作者：
Yong Seung Cho
机构：
[1] Ewha Women's University,Department of Mathematics
来源：
Acta Mathematica Hungarica | 1999年 / 84卷
关键词：
Group Action; Line Bundle; Finite Group; Complex Line; Orientation Preserve;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let L be a complex line bundle over a closed, oriented, smooth 4-manifold X with c1(L) ≡ w2(TX) mod 2. Let a finite group G act on X as orientation preserving isometries and on L such that the projection L → X is a G-map. We investigate the action of G on the Seiberg-Witten equations, and when G = Z2 we study the G-invariant Seiberg-Witten invariants on X and the Seiberg-Witten invariants on its quotient setting.
引用
收藏
页码：97 / 114
页数：17
相关论文
共 50 条
  • [31] SYMMETRIES OF DIFFERENTIAL BEHAVIORS AND FINITE-GROUP ACTIONS ON FREE MODULES OVER A POLYNOMIAL RING
    DECONCINI, C
    FAGNANI, F
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1993, 6 (04) : 307 - 321
  • [32] On Cyclic Actions of Finite Groups
    Gong, Lu
    Chen, Qilin
    Li, Baojun
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (03)
  • [33] ON SOME CRITERIA OF f-HYPERCENTRAL ACTIONS OF FINITE GROUPS
    Li, B.
    Chen, Q.
    Qiaolin, C.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (05) : 859 - 867
  • [34] On pseudo-conjugation actions of finite groups and related topics
    Almeida, T. L. B.
    Moghaddamfar, A. R.
    Nakaoka, I. N.
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2025, 35 (02) : 223 - 241
  • [35] Integrable systems and group actions
    Miranda, Eva
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (02): : 240 - 270
  • [36] Multipliers and Duality for Group Actions
    Andrew McKee
    Journal of Fourier Analysis and Applications, 2021, 27
  • [37] RIGIDITY OF RANDOM GROUP ACTIONS
    Jung, Woochul
    Lee, Keonhee
    Morales, Carlos
    Oh, Jumi
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (12) : 6845 - 6854
  • [38] Cone complexes and group actions
    Tanaka, Kohei
    TOPOLOGY AND ITS APPLICATIONS, 2024, 344
  • [39] PSEUDOFREE GROUP ACTIONS ON SPHERES
    Edmonds, Allan L.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (06) : 2203 - 2208
  • [40] Multipliers and Duality for Group Actions
    McKee, Andrew
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021, 27 (06)
12345