Constructing and calculating Adams operations on dualisable topological modular forms
Algebraic Topology
2026-03-19 v5 Algebraic Geometry
Abstract
We construct Adams operations on the cohomology theory Tmf of topological modular forms; the first such stable operations on this cohomology theory. These Adams operations are then calculated on the Tmf-cohomology of spheres using a combination of descent spectral sequences and Anderson duality. Applications of these operations are then given, including constructions of connective height 2 analogues of Adams summands and image of J spectra.
Keywords
Cite
@article{arxiv.2104.13407,
title = {Constructing and calculating Adams operations on dualisable topological modular forms},
author = {Jack Morgan Davies},
journal= {arXiv preprint arXiv:2104.13407},
year = {2026}
}
Comments
46 pages. Final and accepted version. Comments always welcome!