32 citations · 115 across the 22 of their papers we have counts for
26 papers · 1 filter
On Hopkins' Picard group
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton +1
We compute the algebraic Picard group of the category of -local spectra, for all heights and all primes . In particular, we show that it is always finitely generated o…
On the rationalization of the -local sphere
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton +1
We compute the rational homotopy groups of the -local sphere for all heights and all primes , verifying a prediction that goes back to the pioneering work of Morava in…
The homotopy of the KU_G-local equivariant sphere spectrum
Tanner N. Carawan, Rebecca Field, Bertrand J. Guillou +2
We compute the homotopy Mackey functors of the -local equivariant sphere spectrum when is a finite -group for an odd prime , building on the degree zero case from a…
On the -local equivariant sphere
Peter J. Bonventre, Bertrand J. Guillou, Nathaniel J. Stapleton
Equivariant complex -theory and the equivariant sphere spectrum are two of the most fundamental equivariant spectra. For an odd -group, we calculate the zeroth homotopy Green…
Evaluation maps and transfers for free loop spaces II
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
In our previous paper, we constructed and studied a functorial extension of the evaluation map to transfers along finite covers. In this paper, we s…
Evaluation maps and transfers for free loop spaces I
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
We construct and study a functorial extension of the evaluation map to transfers along finite covers. For finite covers of classifying spaces of fi…