Guts of surfaces in punctured-torus bundles
arXiv:math/0309226
Abstract
Let M be a hyperbolic manifold of finite volume which fibers over the circle with fiber a once punctured torus, and let S be an arbitrary incompressible surface in M. We determine the characteristic JSJ-subpair of M-S and show, in particular, that the guts of (M,S) is empty.
10 pages, submitted to AdM