A. Kupers

activity

20182020

most citedThere is no topological Fulton-MacPherson compactification

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

collaborators

8 papers

math.GT2020★ 1 cited

There is no topological Fulton-MacPherson compactification

Alexander Kupers

In this note we prove that the Fulton-MacPherson compactification of configuration spaces of smooth manifolds can not be extended to topological manifolds in a natural manner, usin…

math.AT2020

Framings of $W_{g, 1}$

Alexander Kupers, Oscar Randal-Williams

We compute the set of framings of $W_{g, 1} = D^{2 n} # (S^{n} \times S^{n})^{# g}$ , up to homotopy and diffeomorphism relative to the boundary.

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

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

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

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…

There is no topological Fulton-MacPherson compactification

Framings of Wg,1​

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

Framings of $W_{g, 1}$

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