{"paper":{"title":"The Viterbo Transfer as a Map of Spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AT","authors_text":"Thomas Kragh","submitted_at":"2007-12-17T16:26:59Z","abstract_excerpt":"Let $L$ and $N$ be two smooth manifolds of the same dimension. Let $j\\colon L\\to T^*N$ be an exact Lagrange embedding. We denote the free loop space of $X$ by $\\Lambda X$. C. Viterbo constructed a transfer map $(\\Lambda j)^! \\colon H^*(\\Lambda L) \\to H^*(\\Lambda N)$. This transfer was constructed using finite dimensional approximation of Floer homology. In this paper we define a family of finite dimensional approximations and realize this transfer as a map of Thom spectra: $(\\Lambda j)_! \\colon (\\Lambda N)^{-TN} \\to (\\Lambda L)^{-TL+\\eta}$, where $\\eta$ is a virtual vector bundle classified by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2533","kind":"arxiv","version":3},"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"}