THE GEOMETRY OF THE MODULI SPACE OF CP2 INSTANTONS

被引：8
|
作者：
GROISSER, D
机构：
[1] Department of Mathematics, State University of New York at Stony Brook, Stony Brook, 11794, NY
来源：
INVENTIONES MATHEMATICAE | 1990年 / 99卷 / 02期
关键词：
D O I：
10.1007/BF01234425
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The moduli space ℳ of self-dual connections ("instantons") of instanton number k=1 over CP2 is topologically a cone on CP2. The complement ℳ* of the vertex of this cone carries a natural Riemannian metric (the "L2 metric"). We find an explicit formula for this metric and deduce certain consequences. In particular, (i) the boundary ∂ℳ is a totally geodesic submanifold of the completion, (ii) ℳ is positively curved at ∂ℳ, and (iii) ℳ is negatively curved in certain directions near the vertex of the cone. © 1990 Springer-Verlag.
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页码：393 / 409
页数：17
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