Virtual homological spectral radius and mapping torus of pseudo-Anosov maps

Sun, Hongbin

doi:10.1090/proc/13564

Virtual homological spectral radius and mapping torus of pseudo-Anosov maps
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Proc. Amer. Math. Soc. 145 (2017), 4551-4560 Request permission

Abstract:

In this note, we show that if a pseudo-Anosov map $\phi :S\to S$ admits a finite cover whose action on the first homology has spectral radius greater than $1$, then the monodromy of any fibered structure of any finite cover of the mapping torus $M_{\phi }$ has the same property.

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