43 citations · 152 across the 35 of their papers we have counts for
37 papers
On Profinite Quandles
Alexander W. Byard, Brian Cai, Nathan P. Jones +2
We undertake the study of profinite quandles. We provide several constructions of profinite quandles from profinite groups, and from other profinite quandle. We characterize which…
Complementation of Subquandles
K. J. Amsberry, J. A. Bergquist, T. A. Horstkamp +2
Saki and Kiani proved that the subrack lattice of a rack is necessarily complemented if is finite but not necessarily complemented if is infinite. In this paper, we inv…
Embedded surface invariants via the Broda-Petit construction
Ik Jae Lee, David N Yetter
We recall Petit's construction of "dichromatic" invariants of 4-manifolds computed from Kirby diagrams using a nested pair of ribbon fusion categories as initial da…
Weakly -Categorified Models of Algebraic Theories
Phillip M Bressie, David N Yetter
We provide the expected constructions of weakly -categorified models (in the sense of Bressie) of the theory of groups and quandles which arise by replacing the homotopies used…
Bicategories for TQFTs with Defects with Structure
I. J. Lee, D. N. Yetter
We provide a description of adequate categorical data to give a Turaev-Viro type state-sum construct of invariants of 3-manifolds with a system of defects, generalizing the Dijkgra…
Tetrahedral Geometry from Areas
Louis Crane, David N. Yetter
We solve a very classical problem motivated by considerations in quantum gravity: providing a description of the geometry of a Euclidean tetrahedron from the initial data of the ar…