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Smash powers and traces on parametrized spectra: An application of rigidity
Cary Malkiewich, Kate Ponto
The paper develops formal constructions of equivariant smash powers and traces in the bicategory of parametrized spectra by applying rigidity and deformable functor techniques, pro…
Scissors automorphism groups II: Solomon-Tits theorems
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
The Solomon-Tits theorem says that the poset of proper non-trivial subspaces of a finite-dimensional vector space has realisation equivalent to a wedge of spheres. In this paper we…
On the functoriality of the space of equivariant smooth -cobordisms
Thomas Goodwillie, Kiyoshi Igusa, Cary Malkiewich +1
We construct an -functor that takes each smooth -manifold with corners to the space of equivariant smooth -cobordisms . We al…
On higher scissors congruence
Cary Malkiewich
We solve the higher version of Hilbert's Third Problem for one-dimensional geometries, and in higher dimensions we reduce the problem to a computation in group homology. Our centra…
A concise proof of the stable model structure on symmetric spectra
Cary Malkiewich, Maru Sarazola
It is well-known that the stable model structure on symmetric spectra cannot be transferred from the one on sequential spectra through the forgetful functor. We use the fibrant tra…