3 papers
math.AG2026
Algebraic Knots and their Universal K^MW_2-Coverings
Matthias Wendt, Thor Wittich
Over suitable base fields of characteristic not , including algebraically closed ones, we construct universal abelian -co…
math.KT2025
Higher Spherical Scissors Congruence I: Hopf Algebra
Inbar Klang, Josefien Kuijper, Cary Malkiewich +2
In the study of the generalization of Hilbert's Third Problem to spherical geometry, Sah constructed a Hopf algebra of spherical polytopes with product given by join and coproduct…
math.CT2025
From Hopf Algebras in Model Categories to Hopf Algebras in -categories
Inbar Klang, Josefien Kuijper, Cary Malkiewich +2
We show that algebra objects in model categories can be transferred to algebra objects in -categories, without any cofibrancy or fibrancy assumptions on the algebra. We fur…