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We define an extended Bloch group for an arbitrary field F, and
show that this group is naturally isomorphic to Kind
3
(F) if F is a number
field. This gives an explicit descript...
THE EXTENDED BLOCH GROUP AND THE CHEEGER-CHERN-SIMONS CLASS
THE EXTENDED BLOCH GROUP CHEEGER-CHERN-SIMONS CLASS
2015/12/17
We present a formula for the full Cheeger-Chern-Simons class of the tautological flat
complex vector bundle of rank 2 over BSL(2, C
δ
). Our formula improves the formula in [DZ], where
the c...