Chromatic Homotopy Theory
《Chromatic Homotopy Theory》 · 第 364 页 · Section 11.4.5，Torus bundles 开头
A torus bundle is of course a surface bundle \(M\to S^1\) with fibre a torus \(T\). We fix a basis for \(\pi_1(T)\), so that \(\operatorname{MCG}(T)=\operatorname{SL}_2(\mathbb Z)\). By what said above, every matrix \(A\in\operatorname{SL}_2(\mathbb Z)\) defines a torus bundle \(M_A\) with monodromy \(A\).