36 citations · 92 across the 11 of their papers we have counts for
14 papers
Global homotopy theory via partially lax limits
Sil Linskens, Denis Nardin, Luca Pol
We provide new -categorical models for unstable and stable global homotopy theory. We use the notion of partially lax limits to formalize the idea that a global object is a…
Parametrized and equivariant higher algebra
Denis Nardin, Jay Shah
We develop the rudiments of a theory of parametrized -operads, including parametrized generalizations of monoidal envelopes, Day convolution, operadic left Kan extensions,…
Twisted K-theory in motivic homotopy theory
Elden Elmanto, Denis Nardin, Maria Yakerson
In this paper, we study twisted algebraic -theory from a motivic viewpoint. For a smooth variety over a field of characteristic zero and an Azumaya algebra ove…
Hermitian K-theory via oriented Gorenstein algebras
Marc Hoyois, Joachim Jelisiejew, Denis Nardin +1
We show that the hermitian K-theory space of a commutative ring R can be identified, up to A^1-homotopy, with the group completion of the groupoid of oriented finite Gorenstein R-a…
Hermitian K-theory for stable -categories III: Grothendieck-Witt groups of rings
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
We establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring to the homotopy -orbits of its K-theory and Ranicki's original (non-period…
Hermitian K-theory for stable -categories II: Cobordism categories and additivity
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
We define Grothendieck-Witt spectra in the setting of Poincaré -categories and show that they fit into an extension with a K- and an L-theoretic part. As consequences we de…