3 papers
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…
math.AT2024
Koszul Resolutions over Free Incomplete Tambara Functors for Cyclic -Groups
David Mehrle, J. D. Quigley, Michael Stahlhauer
In equivariant algebra, Mackey functors replace abelian groups and incomplete Tambara functors replace commutative rings. In this context, we prove that equivariant Hochschild homo…