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math.GT2009
Cones and convex bodies with modular face lattices
D. Labardini-Fragoso, M. Neumann-Coto, M. Takane
If a convex body C has modular and irreducible face lattice (and is not strictly convex), there is a face-preserving homeomorphism from C to a section of a cone of hermitian matric…
math.GT2006
Acylindrical surfaces in 3-manifolds and knot complements
Mario Eudave-Munoz, Max Neumann-Coto
We consider closed acylindrical surfaces in 3-manifolds and in knot and link complements, and show that the genus of these surfaces is bounded linearly by the number of tetrahedra…