{"paper":{"title":"Secondary Ext of the Fiber of $Sq^n$ and the Secondary Adams Spectral Sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Dang Vo Phuc","submitted_at":"2026-05-17T14:52:43Z","abstract_excerpt":"At the prime $2$, let $\\mathcal{B}$ denote the secondary Steenrod algebra in the sense of Baues, Baues--Jibladze, Nassau, and Baues--Frankland. We determine the secondary Ext groups of the secondary cohomology objects of the three fibers considered by Bruner in his work on the fiber of $\\mathrm{Sq}^n$. For $$F_n = \\mathrm{fib}(H \\xrightarrow{\\mathrm{Sq}^n} \\Sigma^n H),\\,\\, \\text{and}\\,\\, F_{n\\mathbb{Z}} = \\mathrm{fib}(H\\mathbb{Z} \\xrightarrow{\\mathrm{Sq}^n} \\Sigma^n H),$$ where $n>0$ in the first case and $n \\ge 2$ in the second, and for $$F = \\mathrm{fib}(H\\mathbb{Z} \\to \\prod_{i>0} \\Sigma^{2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18906","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.18906/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}