1 citations · 1 across the 3 of their papers we have counts for
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Pontryagin-Weiss classes and a rational decomposition of spaces of homeomorphisms
Manuel Krannich, Alexander Kupers
We construct a rational homotopy pullback decomposition for variants of the classifying space of the group of homeomorphisms for a large class of manifolds. This has various applic…
Infinity-operadic foundations for embedding calculus
Manuel Krannich, Alexander Kupers
Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of -categories of truncated right-modules over a unital -opera…
Framings of
Alexander Kupers, Oscar Randal-Williams
We compute the set of framings of , up to homotopy and diffeomorphism relative to the boundary.
The cohomology of Torelli groups is algebraic
Alexander Kupers, Oscar Randal-Williams
The Torelli group of is the subgroup of the diffeomorphisms of fixing a disc which act trivially on . The rational cohomology groups o…
Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem
Jeffrey Giansiracusa, Alexander Kupers, Bena Tshishiku
Let 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 are non-zero. A…
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 relative to a disc in a stable range, for $2n \geq…