3 papers
math.AT2026
The Zero Slice of Quaternionic Real Bordism
Bertrand J. Guillou, Jesse Keyes, David Mehrle
Using the Hill-Hopkins-Ravenel norm, one can produce a -spectrum , where is the quaternion group. Working towards a computation of the…
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…