The local cohomology spectral sequence for topological modular forms
Robert Bruner, John Greenlees, John Rognes
TL;DR
This paper explores the structure of local cohomology spectral sequences related to topological modular forms, providing explicit descriptions of differentials and extensions based on duality theories.
Contribution
It introduces explicit local cohomology spectral sequences for topological modular forms using Mahowald-Rezk and Gorenstein dualities, detailing their differential patterns and hidden extensions.
Findings
Explicit descriptions of local cohomology spectral sequences.
Identification of differential patterns and hidden extensions.
Application of duality theories to topological modular forms.
Abstract
We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald-Rezk duality and on Gorenstein duality, and then make the associated local cohomology spectral sequences explicit, including their differential patterns and hidden extensions.
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