{"paper":{"title":"Topological steps toward the Homflypt skein module of the lens spaces $L(p,1)$ via braids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ioannis Diamantis, Jozef Przytycki, Sofia Lambropoulou","submitted_at":"2016-04-21T02:42:37Z","abstract_excerpt":"In this paper we work toward the Homflypt skein module of the lens spaces $L(p,1)$, $\\mathcal{S}(L(p,1))$, using braids. In particular, we establish the connection between $\\mathcal{S}({\\rm ST})$, the Homflypt skein module of the solid torus ST, and $\\mathcal{S}(L(p,1))$ and arrive at an infinite system, whose solution corresponds to the computation of $\\mathcal{S}(L(p,1))$. We start from the Lambropoulou invariant $X$ for knots and links in ST, the universal analogue of the Homflypt polynomial in ST, and a new basis, $\\Lambda$, of $\\mathcal{S}({\\rm ST})$ presented in \\cite{DL1}. We show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06163","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"}