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5 papers
The descent spectral sequence for topological modular forms
Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht
We prove the Gap Theorem for the spectrum of topological modular forms . This removes a longstanding circularity in the literature, thereby confirming the computation…
An introduction to filtered and synthetic spectra
Sven van Nigtevecht
Expository notes about spectral sequences, filtered spectra, and synthetic spectra. We focus on the -formalism as it arises in filtered spectra.
Descent spectral sequences through synthetic spectra
Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht
The synthetic analogue functor from spectra to synthetic spectra does not preserve all limits. In this paper, we give a necessary and sufficient criterion for to preserve…
Cellularity of Chromatic Synthetic Spectra
Shaul Barkan, Sven van Nigtevecht
We show that the -category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the -category of modules over a f…
The K-theory cochains of H-spaces and height 1 chromatic homotopy theory
Sven van Nigtevecht
Fix an odd prime . Let be a pointed space whose -completed K-theory is an exterior algebra on a finite number of odd generators; examples include odd…