{"paper":{"title":"Twisted monodromy homomorphisms and Massey products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"math.AG","authors_text":"Andrei Pajitnov","submitted_at":"2017-01-23T23:35:08Z","abstract_excerpt":"Let $\\phi: M\\to M$ be a diffeomorphism of a $C^\\infty$ compact connected manifold, and $X$ its mapping torus. There is a natural fibration $p:X\\to S^1$, denote by $\\xi\\in H^1(X, \\mathbb{Z})$ the corresponding cohomology class. Let $\\rho:\\pi_1(X)\\to GL(n,\\mathbb{C})$ be a representation, denote by $H^*(X,\\rho)$ the corresponding twisted cohomology of $X$. Denote by $\\rho_0$ the restriction of $\\rho$ to $\\pi_1(M)$, and by $\\rho^*_0$ the antirepresentation conjugate to $\\rho_0$. We construct from these data an automorphism of the group $H_*(M,\\rho^*_0)$, that we call the twisted monodromy homomor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06677","kind":"arxiv","version":1},"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"}