{"paper":{"title":"Higher Chromatic Analogues of Twisted $K$-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Mehdi Khorami","submitted_at":"2014-07-10T15:27:50Z","abstract_excerpt":"We introduce a family of twisted $K(n)$-local theories that behave analogous to twisted K-theory. Let $R_n= E_n^{hS\\mathbb G_n}$, the homotopy fixed point spectrum under the action of the subgroup $S\\mathbb G_n$ of the Morava stabilizer group where $S\\mathbb G_n$ is the kernel of the determinant homomorphism $\\text{det}:\\mathbb G_n\\to \\mathbb Z_p^\\times$. We show that for a $K(n)$-local space $X$ with a $L_{K(n)}K(\\mathbb Z_p, n+1)$-bundle $P\\to X$, the $P$-twisted $R_n$-theory of $X$ is defined. We show that analogous to twisted K-theory, a universal coefficient type isomorphism holds for the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2826","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}