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

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dc.creatorKitano, Teruaki
dc.creatorMorifuji, Takayuki
dc.date2008-01-29
dc.date.accessioned2026-07-07T08:57:04Z
dc.date.available2026-07-07T08:57:04Z
dc.descriptionIn 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0801.4429
dc.identifierhttp://arxiv.org/abs/0801.4429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146831
dc.subjectGeometric Topology
dc.subject57Q10; 57M05; 58J52
dc.title$L^2$-torsion invariants and the Magnus representation of the mapping class group
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