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math.AT2016
A geometric proof of Lück's vanishing theorem for the first -Betti number of the total space of a fibration
Christopher Wulff
A significant theorem of Lück says that the first -Betti number of the total space of a fibration vanishes under some conditions on the fundamental groups. The proof is based…
math.KT2016
Coarse indices of twisted operators
Christopher Wulff
Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in -theory. The other type is b…