{"paper":{"title":"Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chang-shou Lin, Hsin-Yuan Huang, Youngae Lee","submitted_at":"2014-08-27T21:34:23Z","abstract_excerpt":"Consider the following skew-symmetric Chern-Simons system \\begin{equation*}\\left \\{ \\begin{split} &\\Delta u_{1}+\\frac{1}{\\varepsilon^2} e^{u_{2}}(1-e^{u_{1}})=4\\pi \\sum^{N_1}_{j=1}\\delta_{p_{j,1}}\\\\ &\\Delta u_{2}+\\frac{1}{\\varepsilon^2} e^{u_{1}}(1-e^{u_{2}})=4\\pi \\sum^{N_2}_{j=1}\\delta_{p_{j,2}} \\end{split}\\right.\\quad\\text{ in }\\quad\\Omega, \\end{equation*} where $\\Omega$ is a flat 2-dimensional torus $\\mathbb{T}^2$ or $\\mathbb{R}^2$, $\\varepsilon> 0$ is a coupling parameter, and $\\delta_p$ denotes the Dirac measure concentrated at $p$. In this paper, we prove that, when the coupling paramete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6574","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"}