DOI: 10.1112/plms.70192 ISSN: 0024-6115
Syntomic cohomology and real topological cyclic homology
Doosung ParkAbstract
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 .