69 citations · 386 across the 37 of their papers we have counts for
37 papers
Continuous homology of topological periodic homology of complex cobordism
Sverre Lunøe-Nielsen, John Rognes
We determine the continuous mod homology of the topological periodic homology of the complex cobordism spectrum, as a graded algebra with Steenrod operations. The answ…
Localization sequences for logarithmic topological cyclic homology
John Rognes, Steffen Sagave, Christian Schlichtkrull
We introduce the notion of an E_k-ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context…
Algebraic K-theory of real topological K-theory
Gabriel Angelini-Knoll, Christian Ausoni, John Rognes
We determine the A(1)-homotopy of the topological cyclic homology of the connective real K-theory spectrum ko. The answer has an associated graded that is a free F_2[v_2^4]-module…
On the motivic Segal conjecture
Thomas Gregersen, John Rognes
We establish motivic versions of the theorems of Lin and Gunawardena, thereby confirming the motivic Segal conjecture for the algebraic group of -th roots of unity,…
The Segal conjecture for smash powers
Håkon Schad Bergsaker, John Rognes
We prove that the comparison map from -fixed points to -homotopy fixed points, for the -fold smash power of a bounded below spectrum , becomes an equivalence after -…
Algebraic K-theory of elliptic cohomology
Gabriel Angelini-Knoll, Christian Ausoni, Dominic Leon Culver +2
We calculate the mod (p, v_1, v_2) homotopy V(2)_* TC(BP<2>) of the topological cyclic homology of the truncated Brown--Peterson spectrum BP<2>, at all primes p\ge7, and show that…