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math.GT2007★ 1 cited
The Thurston norm via Normal Surfaces
Daryl Cooper, Stephan Tillmann
Given a triangulation of a closed, oriented, irreducible, atoroidal 3-manifold every oriented, incompressible surface may be isotoped into normal position relative to the triangula…
math.GT1998
Dehn surgery and negatively curved 3-manifolds
Daryl Cooper, Marc Lackenby
We show that, for any given 3-manifold M, there are at most finitely many hyperbolic knots K in the 3-sphere and fractions p/q (with q > 22), such that M is obtained by p/q surgery…
math.GT1998
The structure of a solvmanifold's Heegaard splittings
Daryl Cooper, Martin Scharlemann
We classify isotopy classes of irreducible Heegaard splittings of solvmanifolds. If the monodromy of the solvmanifold can be expressed as a 2 x 2 matrix with 0 in the lower right h…