کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4657694 | 1344009 | 2007 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Symplectic symmetries of 4-manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A study of symplectic actions of a finite group G on smooth 4-manifolds is initiated. The central new idea is the use of G-equivariant Seiberg-Witten-Taubes theory in studying the structure of the fixed-point set of these symmetries. The main result in this paper is a complete description of the fixed-point set structure (and the action around it) of a symplectic cyclic action of prime order on a minimal symplectic 4-manifold with c12=0. Comparison of this result with the case of locally linear topological actions is made. As an application of these considerations, the triviality of many such actions on a large class of 4-manifolds is established. In particular, we show the triviality of homologically trivial symplectic symmetries of a K3 surface (in analogy with holomorphic automorphisms). Various examples and comments illustrating our considerations are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 46, Issue 2, March 2007, Pages 103-128
Journal: Topology - Volume 46, Issue 2, March 2007, Pages 103-128
نویسندگان
Weimin Chen, Slawomir Kwasik,