Real topological Hochschild homology of schemes
Jens Hornbostel, Doosung Park
TL;DR
This paper investigates the properties of real topological Hochschild homology (THR) for schemes with involution, establishing key base change and descent results, and provides explicit computations for projective spaces.
Contribution
It proves that THR satisfies base change and descent for schemes with involution, and computes THR for projective spaces, advancing understanding of equivariant homology theories.
Findings
THR satisfies base change for schemes with involution.
THR satisfies descent for the Z/2-isovariant étale topology.
Explicit computations of THR for projective spaces.
Abstract
We prove that real topological Hochschild homology THR for schemes with involution satisfies base change and descent for the Z/2-isovariant \'etale topology. As an application, we provide computations for the projective line (with and without involution) and the higher dimensional projective spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory