4 papers
Homotopy coherent Gysin functoriality
Frédéric Déglise, Niels Feld, Fangzhou Jin
We construct homotopy coherent Gysin pullbacks for weak Borel-Moore theories on smooth schemes, addressing the higher coherence problem for Gysin morphisms associated with closed i…
Homological Milnor-Witt modules and Chow-Witt groups over general bases
Frédéric Déglise, Niels Feld, Fangzhou Jin
We introduce a general theory of homological Milnor-Witt cycle modules over an excellent base scheme equipped with a dimension function, extending both Rost's cycle modules and Fel…
Motivic homotopy theory and stable homotopy groups
Frédéric Déglise
These notes, written version of a Bourbaki talk, survey Morel-Voevodsky's motivic homotopy theory over a field, with a focus on computations of motivic homotopy sheaves, both stabl…
Spectral sequences in unstable higher homotopy theory and applications to the coniveau filtration
Frédéric Déglise, Rakesh Pawar
With the aim of understanding Morel's result on the -homotopy sheaves over a field, we extend the theory of unstable spectral sequences of Bousfield and Kan in the $\…