A Simple Geometric Representative for $μ$ of a Point

Mathematics – Differential Geometry

Scientific paper

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Details

8 pages, AmS-TeX, no figures

Scientific paper

10.1007/BF02104910

For $SU(2)$ (or $SO(3)$) Donaldson theory on a 4-manifold $X$, we construct a
simple geometric representative for $\mu$ of a point. Let $p$ be a generic
point in $X$. Then the set $\{ [A] | F_A^-(p) $ is reducible $\}$, with
coefficient -1/4 and appropriate orientation, is our desired geometric
representative.

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