Raphael Zentner

activity

20032025

most citedInteger homology 3-spheres admit irreducible representations in SL(2,C)

31 citations · 104 across the 23 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.GT2015

Knot concordances and alternating knots

Stefan Friedl, Charles Livingston, Raphael Zentner

There is an infinitely generated free subgroup of the smooth knot concordance group with the property that no nontrivial element in this subgroup can be represented by an alternati…

math.GT2015★ 5 cited

Alternating numbers of torus knots with small braid index

Peter Feller, Simon Pohlmann, Raphael Zentner

We calculate the alternating number of torus knots with braid index 4 and less. For the lower bound, we use the upsilon-invariant recently introduced by Ozsváth, Stipsicz, and Szab…

math.GT2015★ 10 cited

A class of knots with simple $S U (2)$ representations

Raphael Zentner

We call a knot in the 3-sphere $S U (2)$ -simple if all representations of the fundamental group of its complement which map a meridian to a trace-free element in $S U (2)$ are binary d…

Knot concordances and alternating knots

Alternating numbers of torus knots with small braid index

A class of knots with simple SU(2) representations

A class of knots with simple $S U (2)$ representations