{"paper":{"title":"Complex b-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gerardo A. Mendoza","submitted_at":"2013-02-04T15:54:45Z","abstract_excerpt":"A complex $b$-structure on a manifold $\\M$ with boundary is an involutive subbundle $\\bT^{0,1}\\M$ of the complexification of $\\bT\\M$ with the property that $\\C\\bT\\M = \\bT^{0,1}\\M + \\bar{\\bT^{0,1}\\M}$ as a direct sum; the interior of $\\M$ is a complex manifold. The complex $b$-structure determines an elliptic complex of $b$-operators and induces a rich structure on the boundary of $\\M$. We study the cohomology of the indicial complex of the $b$-Dolbeault complex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0732","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"}