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math.GT2003
Guts of surfaces in punctured-torus bundles
Thilo Kuessner
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…
math.GT2001
Lefschetz fibrations with unbounded Euler class
Thilo Kuessner
We investigate the bounded cohomology of Lefschetz fibrations. If a Lefschetz fibration has regular fiber of genus at least 2 and it has at least two distinct vanishing cycles, we…