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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0712.2533","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2007-12-17T16:26:59Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"4fddff12dca7b34416fda6445b599560307ff758eccd397a10515f74574aa3a2","abstract_canon_sha256":"65dc80fab1a0cb51df71ae7908fac05f171d2cd74f7c03225c16cdaebaf93fee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:06.429643Z","signature_b64":"fHmWNgUt8U3103VzOn9aSxuiAQ7whb9N047Xy0PgtA7np6s+Amr5K3lfDpH5NMT/fKdiICrqvfftU+26q/A+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef726feece154fd9b4246b30b552a2993909390c6b3814dce3804635791ed0ff","last_reissued_at":"2026-05-18T02:32:06.429257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:06.429257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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. 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