Neck-pinching of [Formula: see text] -structures in the [Formula: see text] -character variety
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We characterize a certain neck-pinching degeneration of (marked) C P 1 -structures on a closed oriented surface S of genus at least two. In a more general setting, we take a path of C P 1 -structures C t ( t ⩾ 0 ) on S that leaves every ... ...