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Anja Böckenholt

Wolfgang Lück (HIM Bonn): Universal torsion, L2-invariants, polytopes and the Thurston norm. (Oberseminar Topologie)

Monday, 14.12.2015 14:00 im Raum M6

Mathematik und Informatik

We introduce universal torsion which is defined for L2-acyclic manifolds with torsionfree fundamental group and takes values in certain K_1-groups of a skew field associated to the integral group ring. It encompasses well-know invariants such as the Alexander polynomial and L2-torsion. We discuss also twisted L2-torsion and higher order Alexander polynomials which can also be derived from the universal invariant and assign certain polytopes to the universal torsion. This gives especially in dimension 3 interesting invariants which recover for instance the Thurston norm.



Angelegt am Wednesday, 04.11.2015 10:09 von Anja Böckenholt
Geändert am Wednesday, 11.11.2015 09:56 von Anja Böckenholt
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