{"paper":{"title":"T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group","license":"","headline":"","cross_cats":["math.AT","math.OA"],"primary_cat":"hep-th","authors_text":"Jonathan Rosenberg, Varghese Mathai","submitted_at":"2005-08-11T14:00:23Z","abstract_excerpt":"We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a \"classical\" T-dual, i.e., a dual bundle with dual H-flux, and when the T-dual must be \"non-classical,\" that is, a continuous field of noncommutative tori.\n  The duality comes with an isomorphism of twisted $K$-theories, required for matching of D-brane charges, just as in the classical case. The isomorphism of twisted cohomology which one gets in the classical case is replaced in the non-classical case by an isomorphism of twisted cyclic homology.\n  An important "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508084","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"}