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arXiv · 2104.13407

Constructing and calculating Adams operations on dualisable topological modular forms

Jack Morgan Davies
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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.

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Jack Morgan Davies. 2021-04-27. Constructing and calculating Adams operations on dualisable topological modular forms. https://doi.org/10.4171/dm/1005

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