{"paper":{"title":"Efficient construction of homological Seifert surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Ana Alonso Rodr\\`iguez, Enrico Bertolazzi, Riccardo Ghiloni, Ruben Specogna","submitted_at":"2014-09-18T23:12:20Z","abstract_excerpt":"Let $\\Omega$ be a bounded domain of $\\mathbb{R}^3$ whose closure $\\overline{\\Omega}$ is polyhedral, and let $\\mathcal{T}$ be a triangulation of $\\overline{\\Omega}$. Assuming that the boundary of $\\Omega$ is sufficiently regular, we provide an explicit formula for the computation of homological Seifert surfaces of any $1$-boundary $\\gamma$ of $\\mathcal{T}$; namely, $2$-chains of $\\mathcal{T}$ whose boundary is $\\gamma$. It is based on the existence of special spanning trees of the complete dual graph of $\\mathcal{T}$, and on the computation of certain linking numbers associated with those spann"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5487","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"}