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Non-injectivity of the trace map for character varieties

math.GT · 2026-05-18 · unverdicted · novelty 8.0

The Goldman trace map is shown to be non-injective for any reductive G by constructing explicit nonzero kernel elements for each n using the Amitsur-Levitzki identity on words in a free subgroup of the surface group.

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  • Non-injectivity of the trace map for character varieties math.GT · 2026-05-18 · unverdicted · none · ref 1

    The Goldman trace map is shown to be non-injective for any reductive G by constructing explicit nonzero kernel elements for each n using the Amitsur-Levitzki identity on words in a free subgroup of the surface group.