L²-torsion invariants and the Magnus representation of the mapping class group
classification
🧮 math.GT
keywords
invariantsclassgroupmappingthemtorsioncalculatecompare
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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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