K-framings generalize Johnson's quadratic form-spin structure correspondence to any commutative ring K, yielding bijections with twisted cocycles of the mapping class group for positive-genus surfaces.
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$\mathbb{K}$-framings and $\mathbb{K}$-quadratic forms on surfaces
K-framings generalize Johnson's quadratic form-spin structure correspondence to any commutative ring K, yielding bijections with twisted cocycles of the mapping class group for positive-genus surfaces.