A. Kupers

activity

20112026

most citedSome finiteness results for groups of automorphisms of manifolds

18 citations · 135 across the 39 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

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…

math.AT2019★ 13 cited

The cohomology of Torelli groups is algebraic

Alexander Kupers, Oscar Randal-Williams

The Torelli group of $W_{g} = #^{g} S^{n} \times S^{n}$ is the subgroup of the diffeomorphisms of $W_{g}$ fixing a disc which act trivially on $H_{n} (W_{g}; Z)$ . The rational cohomology groups o…

math.AT2019★ 8 cited

Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem

Jeffrey Giansiracusa, Alexander Kupers, Bena Tshishiku

Let $K$ be the K3 manifold. In this note, we discuss two methods to prove that certain generalized Miller--Morita--Mumford classes for smooth bundles with fiber $K$ are non-zero. A…

math.AT2019★ 18 cited

On the cohomology of Torelli groups

Alexander Kupers, Oscar Randal-Williams

We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $#^{g} S^{n} \times S^{n}$ relative to a disc in a stable range, for $2n \geq…

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

The cohomology of Torelli groups is algebraic

Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem

On the cohomology of Torelli groups

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