10 citations · 43 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
Scissors automorphism groups I: Homological stability and K-theory
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
In any category with a reasonable notion of cover, each object has a group of scissors automorphisms. We prove that under mild conditions, the homology of this group is independent…
A trace map on higher scissors congruence groups
Anna Marie Bohmann, Teena Gerhardt, Cary Malkiewich +2
Cut-and-paste -theory has recently emerged as an important variant of higher algebraic -theory. However, many of the powerful tools used to study classical higher algebraic $…
-theoretic torsion and the zeta function
John R. Klein, Cary Malkiewich
We generalize to higher algebraic -theory an identity (originally due to Milnor) that relates the Reidemeister torsion of an infinite cyclic cover to its Lefschetz zeta function…