{"paper":{"title":"On the topology of T-duality","license":"","headline":"","cross_cats":["hep-th","math-ph","math.KT","math.MP"],"primary_cat":"math.GT","authors_text":"Thomas Schick (Goettingen), Ulrich Bunke (Goettingen)","submitted_at":"2004-05-07T18:27:17Z","abstract_excerpt":"In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes $h_1\\in H^3(E_1)$ and $h_2\\in H^3(E_2)$, has been introduced. One of the main virtues of T-duality is that $h_1$-twisted K-theory of $E_1$ is isomorphic to $h_2$-twisted K-theory of $E_2$. In this paper, a new, very topological concept of T-duality is introduced. The study pairs (E,h) as above from a topological point of view and construct a classifying space of such pairs. Using this, we construct a universal dual pair to a given pair. Our cons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405132","kind":"arxiv","version":5},"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"}