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math.KT2025
Scissors congruence of the line and the regulator
Ezekiel Lemann
We construct explicit generators for the higher scissors congruence K-theory of the line. We use this to derive an explicit generating set for the homology of the group of interval…
math.KT2024
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…