3 citations · 7 across the 6 of their papers we have counts for
22 papers · 1 filter
The Dehn twist coefficient for big and small mapping class groups
Peter Feller, Diana Hubbard, Hannah Turner
We study a quasimorphism, which we call the Dehn twist coefficient (DTC), from the mapping class group of a surface (with a chosen compact boundary component) that generalizes the…
Hyperbolic Heegaard splittings and Dehn twists
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We consider the family of Heegaard splittings of genus at least two which are defined via a gluing map that is the -th power of the Dehn twist along a curve that satisfies a…
Asymptotics of the smooth -realization problem
Sebastian Baader, Peter Feller
We solve an asymptotic variant of a smooth version of the -realization problem for plane curves. As an application, we determine the cobordism distance between torus links of…
The slice-Bennequin inequality for the fractional Dehn twist coefficient
Peter Feller
We characterize the fractional Dehn twist coefficient (FDTC) on the -stranded braid group as the unique homogeneous quasimorphism to the real numbers of defect at most 1 that eq…
On the values taken by slice torus invariants
Peter Feller, Lukas Lewark, Andrew Lobb
We study the space of slice-torus invariants. In particular we characterize the set of values that slice-torus invariants may take on a given knot in terms of the stable smooth sli…
Squeezed Knots
Peter Feller, Lukas Lewark, Andrew Lobb
Squeezed knots are those knots that appear as slices of genus-minimizing oriented smooth cobordisms between positive and negative torus knots. We show that this class of knots is l…