8 citations · 8 across the 4 of their papers we have counts for
8 papers
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…
A formula for -completion by way of the Segal conjecture
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
The Segal conjecture describes stable maps between classifying spaces in terms of (virtual) bisets for the finite groups in question. Along these lines, we give an algebraic formul…
Representation rings for fusion systems and dimension functions
Sune Precht Reeh, Ergün Yalçın
We define the representation ring of a saturated fusion system as the Grothendieck ring of the semiring of -stable representations, and study the dimension…
On the Basis of the Burnside Ring of a Fusion System
Matthew Gelvin, Sune Precht Reeh, Ergun Yalcin
We consider the Burnside ring of -stable -sets for a saturated fusion system defined on a -group . It is shown by S. P. Reeh th…
Minimal characteristic bisets for fusion systems
Matthew Gelvin, Sune Precht Reeh
We show that every saturated fusion system has a unique minimal -characteristic biset . We examine the relationship of wit…
Transfer and characteristic idempotents for saturated fusion systems
Sune Precht Reeh
We construct a well-behaved transfer map from the p-local Burnside ring of the underlying p-group S to the p-local Burnside ring of a saturated fusion system F. Using this transfer…
The abelian monoid of fusion-stable finite sets is free
Sune Precht Reeh
We show that the abelian monoid of isomorphism classes of G-stable finite S-sets is free for a finite group G with Sylow p-subgroup S; here a finite S-set is called G-stable if it…