A. Kupers

activity

20182026

most citedThere is no topological Fulton-MacPherson compactification

1 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing math.KTShow all

2 papers · 1 filter

math.KT2024

Scissors automorphism groups and their homology

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…

math.KT2019

Voronoi complexes in higher dimensions, cohomology of $G L_{N} (Z)$ for $N \geq 8$ and the triviality of $K_{8} (Z)$

Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers +1

We enumerate the low dimensional cells in the Voronoi cell complexes attached to the modular groups $S L_{N} (Z)$ and $G L_{N} (Z)$ for $N = 8, 9, 10, 11$ , using quotient sublattices techniques…

Scissors automorphism groups and their homology

Voronoi complexes in higher dimensions, cohomology of GLN​(Z) for N≥8 and the triviality of K8​(Z)

Voronoi complexes in higher dimensions, cohomology of $G L_{N} (Z)$ for $N \geq 8$ and the triviality of $K_{8} (Z)$