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math.AT2026
Normed idempotence of spectra and distributivity in equivariant higher algebra
Kaif Hilman, Branko Juran, Natalie Stewart
We introduce and develop the theory of distributivity for base categories equipped with so-called atomic orbital subcategories, with an eye towards applications in equivariant homo…
math.AT2026
On the universality of multiexcisive functors
Tobias Barthel, Kaif Hilman, Nikolay Konovalov
We provide a multiplicative classification of polynomial endofunctors on spectra in terms of their Mackey functors of cross--effects. More precisely, we prove that various categori…
math.KT2026
Equivariant localizing motives and multiplicative norms on algebraic K-theory
Kaif Hilman, Maxime Ramzi
We construct multiplicative norms on equivariant nonconnective algebraic -theory for finite groups . We also construct a genuine equivariant version of THH equipped with a De…