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math.GT2021
The Montesinos trick for proper rational tangle replacement
Duncan McCoy, Raphael Zentner
Recently Iltgen, Lewark and Marino introduced the concept of a proper rational tangle replacement and the corresponding notion of the proper rational unknotting number. In this not…
math.GT2021★ 6 cited
Toroidal homology spheres and SU(2)-representations
Tye Lidman, Juanita Pinzón-Caicedo, Raphael Zentner
We prove that if an integer homology three-sphere contains an embedded incompressible torus, then its fundamental group admits irreducible SU(2)-representations. Our methods use in…