{"paper":{"title":"Existence results for coupled Dirac systems via Rabinowitz-Floer theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Guangcun Lu, Wenmin Gong","submitted_at":"2015-11-21T03:57:04Z","abstract_excerpt":"In this paper, we construct the Rabinowitz-Floer homology for the coupled Dirac system \\begin{equation*} \\left\\{ \\begin{aligned} Du=\\frac{\\partial H}{\\partial v}(x,u,v)\\hspace{4mm} {\\rm on} \\hspace{2mm}M,\\\\ Dv=\\frac{\\partial H}{\\partial u}(x,u,v)\\hspace{4mm} {\\rm on} \\hspace{2mm}M, \\end{aligned} \\right. \\end{equation*} where $M$ is an $n$-dimensional compact Riemannian spin manifold, $D$ is the Dirac operator on $M$, and $H:\\Sigma M\\oplus \\Sigma M\\to \\mathbb{R}$ is a real valued superquadratic function of class $C^1$ with subcritical growth rates. Solutions of this system can be obtained from "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06829","kind":"arxiv","version":2},"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"}