2 citations · 3 across the 9 of their papers we have counts for
10 papers
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…
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…
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…
Poincaré Duality Pairs of -Categories
Andrea Bianchi, Kaif Hilman, Dominik Kirstein +1
We introduce a notion of Poincaré duality for pairs of -categories, extending Poincaré-Lefschetz duality for pairs of spaces. This categorical extension yields an efficient…
Parametrised functor calculus: excision, spheres, and semiadditivity
Kaif Hilman, Sil Linskens
We lay down the foundations of a theory of parametrised functor calculus, generalising parts of the functor calculus of Goodwillie. We introduce the notion of excisable posets and…
Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem
Kaif Hilman, Dominik Kirstein, Christian Kremer
In this companion article to [HKK24], we apply the theory of equivariant Poincaré duality developed there in the special case of cyclic groups of prime order to remove, in a…
Parametrised Poincaré duality and equivariant fixed points methods
Kaif Hilman, Dominik Kirstein, Christian Kremer
In this article, we introduce and develop the notion of parametrised Poincaré duality in the formalism of parametrised higher category theory by Martini-Wolf, in part generalising…
An equivariant generalisation of McDuff-Segal's group-completion theorem
Kaif Hilman
In this short note, we prove a G-equivariant generalisation of McDuff-Segal's group-completion theorem for finite groups G. A new complication regarding genuine equivariant localis…
Parametrised Presentability over Orbital Categories
Kaif Hilman
In this paper, we develop the notion of presentability in the parametrised homotopy theory framework of Barwick-Dotto-Glasman-Nardin-Shah over orbital categories. We formulate and…
Parametrised noncommutative motives and equivariant cubical descent in algebraic K-theory
Kaif Hilman
For an atomic orbital base category in the sense of Barwick-Dotto-Glasman-Nardin-Shah, we introduce the category of parametrised perfect-stable categories and use it to construct t…