Speaker: Yi Liu (BICM）
Time: Nov. 10, pm4:00---5:00, 2015
Room: X2511
Title：Degree
of $L^2$-Alexander torsion for 3-manifolds
Abstract：For
an irreducible orientable compact $3$-manifold $N$ with empty or incompressible
toral boundary, the full $L^2$--Alexander torsion $\tau^{(2)}(N,\phi)(t)$
associated to any real first cohomology class $\phi$ of $N$ is represented by a
function of a positive real variable $t$. In this talk, I will show that
$\tau^{(2)}(N,\phi)$ is continuous, everywhere positive, and asymptotically
monomial in both ends. Moreover, the degree of $\tau^{(2)}(N,\phi)$ equals the
Thurston norm of $\phi$.
