{"paper":{"title":"The fundamental group of a rigid Lagrangian cobordism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Jean-Fran\\c{c}ois Barraud, Lara Simone Su\\'arez","submitted_at":"2017-02-08T09:49:31Z","abstract_excerpt":"In this article we extend the construction of the Floer fundamental group to the monotone Lagrangian setting and use it to study the fundamental group of a Lagrangian cobordism $W\\subset (\\mathbb{C}\\times M, \\omega_{st}\\oplus\\omega)$ between two Lagrangian submanifolds $L, L'\\subset ( M, \\omega)$. We show that under natural conditions the inclusions $L,L'\\hookrightarrow W$ induce surjective maps $\\pi_{1}(L)\\twoheadrightarrow\\pi_{1}(W)$, $\\pi_{1}(L')\\twoheadrightarrow\\pi_{1}(W)$ and when the previous maps are injective then $W$ is an h-cobordism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02345","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"}