Merge-position invariance holds for quadratically enriched tropical floor diagrams via wall-crossing factorisation and real broccoli invariance, with a complete tropical proof when 2 is a square.
arXiv:1703.03049
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A formula expresses the local epsilon factor of vanishing cycles in terms of a non-degenerate symmetric bilinear form, with its sign given by the discriminant, refining the Milnor formula and generalizing the Arf invariant in characteristic 2.
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Merge-position invariance in quadratically enriched tropical floor diagrams
Merge-position invariance holds for quadratically enriched tropical floor diagrams via wall-crossing factorisation and real broccoli invariance, with a complete tropical proof when 2 is a square.
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Symmetric bilinear forms and local epsilon factors of isolated singularities in positive characteristic
A formula expresses the local epsilon factor of vanishing cycles in terms of a non-degenerate symmetric bilinear form, with its sign given by the discriminant, refining the Milnor formula and generalizing the Arf invariant in characteristic 2.