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arXiv:0801.4429 [math.GT]AbstractReferencesReviewsResources

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

Teruaki Kitano, Takayuki Morifuji

Published 2008-01-29Version 1

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.

Comments: 14 pages
Categories: math.GT
Subjects: 57Q10, 57M05, 58J52
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