Second Chern class $$c_2 \in H^4(BGL,\mathbb{Q}(2))$$ admits a nice presentation using dilogarithm. The five term relation in this setting becomes a cocycle condition (details can be found here). Dilogarithm admits a natural deformation: elliptic dilogarithm. Is it related to some sort of elliptic Chern class?
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asked May 30, 2019 at 5:08
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$\begingroup$ There are motivic cohomology classes associated to the elliptic (or abelian) polylogarithms (see e.g. doi.org/10.1515/crll.1999.088). Could they serve as definitions of Chern classes for an abelian scheme $A \to S$? $\endgroup$– Riccardo PengoCommented Jun 1, 2019 at 18:26
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