3 papers
math.AT2026
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…
math.AT2026
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…
math.AT2026
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…