$L^2$-torsion invariants and the Magnus representation of the mapping class group

Details $L^2$-torsion invariants and the Magnus representation of the mapping class group $L^2$-torsion invariants and the Magnus representation of the mapping class group

2008-01-29

arxiv.org/abs/0801.4429v1

Mathematics

Geometric Topology

14 pages

Scientific paper

In this paper, we study a series of $L^2$-torsion invariants from the
viewpoint of the mapping class group of a surface. We establish some vanishing
theorems for them. Moreover we explicitly calculate the first two invariants
and compare them with hyperbolic volumes.

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