50 citations · 261 across the 35 of their papers we have counts for
35 papers
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…
The -genus of boundary links
Peter Feller, JungHwan Park, Mark Powell
The -genus of a link in is the minimal genus of a locally flat, embedded, connected surface in whose boundary is and with the fundamental group of t…
Examples of non-minimal open books with high fractional Dehn twist coefficient
Peter Feller, Diana Hubbard
In this short note we construct examples of open books for 3-manifolds that show that arbitrarily high twisting of the monodromy of the open book does not guarantee maximality of t…
A note on the four-dimensional clasp number of knots
Peter Feller, JungHwan Park
Among the knots that are the connected sum of two torus knots with cobordism distance 1, we characterize those that have 4-dimensional clasp number at least 2, and we show that the…
Existence of Embeddings of Smooth Varieties into Linear Algebraic Groups
Peter Feller, Immanuel van Santen
We prove that every smooth affine variety of dimension embeds into every simple algebraic group of dimension at least . We do this by establishing the existence of embedd…
Bouquets of curves in surfaces
Sebastian Baader, Peter Feller, Levi Ryffel
We characterise when a set of simple closed curves in an orientable surface forms a bouquet, in terms of relations between the corresponding Dehn twists.
Embedding spheres in knot traces
Peter Feller, Allison N. Miller, Matthias Nagel +3
The trace of -framed surgery on a knot in is a 4-manifold homotopy equivalent to the 2-sphere. We characterise when a generator of the second homotopy group of such a mani…
Non-orientable slice surfaces and inscribed rectangles
Peter Feller, Marco Golla
We discuss differences between genera of smooth and locally-flat non-orientable surfaces in the 4-ball with boundary a given torus knot or 2-bridge knot. In particular, we establis…
Uniform models and short curves for random 3-manifolds
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We provide two constructions of hyperbolic metrics on 3-manifolds with Heegaard splittings that satisfy certain topological conditions, which both apply to random Heegaard splittin…
Genus one cobordisms between torus knots
Peter Feller, JungHwan Park
We determine the pairs of torus knots that have a genus one cobordism between them, with one notable exception. This is done by combining obstructions using from the Heegaard…
A note on the topological slice genus of satellite knots
Peter Feller, Allison N. Miller, Juanita Pinzon-Caicedo
This paper presents evidence supporting the surprising conjecture that in the topological category the slice genus of a satellite knot is bounded above by the sum of the sli…
Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space
Peter Feller, Lukas Lewark
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus of a locally-flat surface in 4-space cobounding the knot whose complement has cyc…
Almost positive links are strongly quasipositive
Peter Feller, Lukas Lewark, Andrew Lobb
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive. This answers a question of Stoimenow's in the (strong) positive. As a second m…
Up to topological concordance links are strongly quasipositive
Maciej Borodzik, Peter Feller
We generalize an algorithm of Rudolph to establish that every link is topologically concordant to a strongly quasipositive link.
Calculating the homology and intersection form of a 4-manifold from a trisection diagram
Peter Feller, Michael Klug, Trent Schirmer +1
Given a diagram for a trisection of a 4-manifold , we describe the homology and the intersection form of in terms of the three subgroups of generated by…
Braids with as many full twists as strands realize the braid index
Peter Feller, Diana Hubbard
We characterize the fractional Dehn twist coefficient of a braid in terms of a slope of the homogenization of the Upsilon function, where Upsilon is the function-valued concordance…
On classical upper bounds for slice genera
Peter Feller, Lukas Lewark
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the topological slice genus of links. In fact, the algebraic genus is an upper bound fo…
Khovanov width and dealternation number of positive braid links
Sebastian Baader, Peter Feller, Lukas Lewark +1
We give asymptotically sharp upper bounds for the Khovanov width and the dealternation number of positive braid links, in terms of their crossing number. The same braid-theoretic t…
Uniqueness of Embeddings of the Affine Line into Algebraic Groups
Peter Feller, Immanuel van Santen né Stampfli
Let be the underlying variety of a connected affine algebraic group. We prove that two embeddings of the affine line into are the same up to an automorphism of…