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58 papers · 1 filter
Poincaré Complex Diagonals and the Bass trace Conjecture
John R. Klein, Florian Naef
For a finitely dominated Poincaré duality space , we show how the author's total obstruction to the existence of a Poincaré embedding of the diagonal map rela…
-motivic -periodic homotopy
Eva Belmont, Daniel C. Isaksen, Hana Jia Kong
We compute the -periodic -motivic stable homotopy groups. The main tool is the effective slice spectral sequence. Along the way, we also analyze -motiv…
The local cohomology spectral sequence for topological modular forms
Robert Bruner, John Greenlees, John Rognes
We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald-Rezk duality and on Gorenstein duality, and then make the associated local cohomolog…
Stable homotopy groups of spheres
Daniel C. Isaksen, Guozhen Wang, Zhouli Xu
We discuss the current state of knowledge of stable homotopy groups of spheres. We describe a new computational method that yields a streamlined computation of the first 61 stable…
The homotopy of C-motivic modular forms
Daniel C. Isaksen
A C-motivic modular forms spectrum mmf has recently been constructed. This article presents detailed computational information on the Adams spectral sequence for mmf. This informat…
Motivic stable homotopy groups
Daniel C. Isaksen, Paul Arne Østvær
We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, a…