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4 papers · 2 filters
Matching Cells
Gael Meigniez
A (complete) matching of the cells of a triangulated manifold can be thought as a combinatorial or discrete version of a nonsingular vector field. We give several methods for const…
On type-preserving representations of the thrice punctured projective plane group
Sara Maloni, Frédéric Palesi, Tian Yang
In this paper we consider type-preserving representations of the fundamental group of the three--holed projective plane into $\mathrm{PGL}(2, \R) =\mathrm{Isom}(\HH^2)$ and study t…
Prime amphicheiral knots with free period 2
Luisa Paoluzzi, Makoto Sakuma
We construct prime amphicheiral knots that have free period 2. This settles an open question raised by the second named author, who proved that amphicheiral hyperbolic knots cannot…
The visual boundary of hyperbolic free-by-cyclic groups
Yael Algom-Kfir, Arnaud Hilion, Emily Stark
Let be an atoroidal outer automorphism of the free group . We study the Gromov boundary of the hyperbolic group . We explicitly describe a…