3 citations · 13 across the 14 of their papers we have counts for
16 papers
Contractible Rips complexes of groups via metric gluings
Kevin Li, Luis Jorge Sánchez Saldaña
We say that a finitely generated group equipped with a finite generating set is of type if the Rips complex is contractible for sufficiently large scales. We show that…
A note on higher coherence of graphs of groups
Kevin Li, Luis Jorge Sánchez Saldaña
For , a group is called -coherent if every subgroup of type is of type . For , we observe that graphs of groups with $n…
Comparison of equivariant cohomological dimensions
Mark Grant, Kevin Li, Ehud Meir +1
We compare three definitions of the equivariant cohomological dimension of a group with operators, coming from Takasu, Adamson and Bredon relative group cohomologies, giving exampl…
Catenoid limits of singly periodic minimal surfaces with Scherk-type ends
Hao Chen, Peter Connor, Kevin Li
We construct families of embedded, singly periodic minimal surfaces of any genus in the quotient with any even number of almost parallel Scherk ends. A surface in such a…
Amenable covers of right-angled Artin groups
Kevin Li
Let be the right-angled Artin group associated to a finite flag complex . We show that the amenable category of equals the virtual cohomological dimension of the rig…
Bounded acyclicity and relative simplicial volume
Kevin Li, Clara Loeh, Marco Moraschini
We provide new vanishing and glueing results for relative simplicial volume, following up on two current themes in bounded cohomology: The passage from amenable groups to boundedly…
Higher topological complexity of hyperbolic groups
Sam Hughes, Kevin Li
We prove for non-elementary torsion-free hyperbolic groups and all that the higher topological complexity is equal to . In part…
Bounded cohomology of classifying spaces for families of subgroups
Kevin Li
We introduce a bounded version of Bredon cohomology for groups relative to a family of subgroups. Our theory generalizes bounded cohomology and differs from Mineyev--Yaman's relati…
On the topological complexity of toral relatively hyperbolic groups
Kevin Li
We prove that the topological complexity equals for certain toral relatively hyperbolic groups .
Certain Hyperbolic Regular Polygonal Tiles are Isoperimetric
Jack Hirsch, Kevin Li, Jackson Petty +1
The hexagon is the least-perimeter tile in the Euclidean plane. On hyperbolic surfaces, the isoperimetric problem differs for every given area. Cox conjectured that a regular -g…
Optimal monohedral tilings of hyperbolic surfaces
Leonardo Di Giosia, Jahangir Habib, Jack Hirsch +6
The hexagon is the least-perimeter tile in the Euclidean plane for any given area. On hyperbolic surfaces, this "isoperimetric" problem differs for every given area, as solutions d…
The Optimal Double Bubble for Density
Jack Hirsch, Kevin Li, Jackson Petty +1
In 1993 Foisy et al. proved that the optimal Euclidean planar double bubble---the least-perimeter way to enclose and separate two given areas---is three circular arcs meeting at 12…
K- and L-theory of graph products of groups
Daniel Kasprowski, Kevin Li, Wolfgang Lück
We compute the group homology, the algebraic - and -groups, and the topological -groups of right-angled Artin groups, right-angled Coxeter groups, and more generally, grap…
An end-to-end construction of doubly periodic minimal surfaces
Peter Connor, Kevin Li
Using Traizet's regeneration method, we prove that for each positive integer n there is a family of embedded, doubly periodic minimal surfaces with parallel ends in Euclidean space…
Complete Embedded Harmonic Surfaces In
Peter Connor, Kevin Li, Matthias Weber
Embedded minimal surfaces of finite total curvature in are reasonably well understood: From far away, they look like intersecting catenoids and planes, suitably desi…
The Gauss-Bonnet Formula for Harmonic Surfaces
Peter Connor, Kevin Li, Matthias Weber
We consider harmonic immersions in of compact Riemann surfaces with finitely many punctures where the harmonic coordinate functions are given as real parts of meromorphic…