{"paper":{"title":"Analytic cycles in flip passages and in instanton moduli spaces over non-K\\\"ahlerian surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.CV"],"primary_cat":"math.DG","authors_text":"Andrei Teleman","submitted_at":"2015-01-07T21:22:10Z","abstract_excerpt":"Let $\\mathcal{M}^{\\mathrm{st}}$ ($\\mathcal{M}^{\\mathrm{pst}}$) be a moduli space of stable (polystable) bundles with fixed determinant on a complex surface with $b_1=1$, $p_g=0$, and let $Z\\subset \\mathcal{M}^{\\mathrm{st}}$ be a pure $k$-dimensional analytic set. We prove a general formula for the homological boundary $\\delta[Z]^{BM}\\in H_{2k-1}^{BM}(\\partial\\hat{\\mathcal M}^{\\mathrm{pst}},\\mathbb{Z})$ of the Borel-Moore fundamental class of $Z$ in the boundary of the blow up moduli space $\\hat {\\mathcal M}^{\\mathrm{pst}}$. The proof is based on the holomorphic model theorem (proved in a previ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01651","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"}