A weak compactness theorem of the Donaldson-Thomas instantons on compact Kahler threefolds, I

Details A weak compactness theorem of the Donaldson-Thomas instantons on compact Kahler threefolds, I A weak compactness theorem of the Donaldson-Thomas instantons on compact Kahler threefolds, I

2008-05-15

arxiv.org/abs/0805.2195v1

Mathematics

Differential Geometry

Scientific paper

We prove that a sequence {(A_n, u_n)} of the Donaldson-Thomas instantons of
an SU(2) vector bundle over a compact Kahler threefold Y has a converging
subsequence outside a closed subset S in Y, whose real 2-dimensional Hausdorff
measure is finite, provided that the L^2 norms of det u_n are uniformly
bounded.

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