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Universal L2-torsion, polytopes and applications to 3-manifolds

Friedl, Stefan and Lück, Wolfgang (2017) Universal L2-torsion, polytopes and applications to 3-manifolds. Proceedings of the London Mathematical Society 114 (6), pp. 1114-1151.

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Other URL: http://doi.org/10.1112/plms.12035


Given an L2-acyclic connected finite CW-complex, we define its universal L2-torsion in terms of the chain complex of its universal covering. It takes values in the weak Whitehead group Whw(G). We study its main properties such as homotopy invariance, sum formula, product formula and Poincare duality. Under certain assumptions, we can specify certain homomorphisms from the weak Whitehead group ...


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Item type:Article
Institutions:Mathematics > Prof. Dr. Stefan Friedl
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Keywords:MANIFOLDS; TORSION; INVARIANTS; NUMBERS; VOLUME; KNOTS; NORM; 57Q10 (primary); 57M27; 19B99 (secondary)
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38945
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