= Conjugate vector bundle
{title2=$\lambda\,\overline v=\overline{\overline\lambda v}$}
The conjugate bundle has the same underlying real bundle and the opposite complex scalar action. Its transitions are the complex conjugates of the original transitions. For a holomorphic bundle on $X$, these transitions are smooth and generally antiholomorphic on $X$; it is not automatically a holomorphic bundle there. It is naturally holomorphic over the conjugate <complex manifold> instead.
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