Syntomic cohomology and real topological cyclic homology
Abstract
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology. As an application, assuming a real refinement of the Dundas–Goodwillie–McCarthy theorem, we compute the ‐graded homotopy groups of , and we compute the equivariant slices of .
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Advanced Operator Algebra Research
Publication details
- Journal / source
- Proceedings of the London Mathematical Society
- Volume
- 133
- Issue
- 2
- Publication date
- 1 August 2026
- Language
- EN