{"paper":{"title":"Contact non-squeezing at large scale in ${\\mathbb R}^{2n} \\times S^1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Maia Fraser","submitted_at":"2015-12-30T03:57:51Z","abstract_excerpt":"We define a $\\mathbb{Z}_k$-equivariant version of the cylindrical contact homology used by Eliashberg-Kim-Polterovich (2006) to prove contact non-squeezing for prequantized integer-capacity balls $B(R) \\times S^1 \\subset \\mathbb{R}^{2n} \\times S^1$, $R \\in \\mathbb{N}$ and we use it to extend their result to all $R \\geq 1$. Specifically we prove if $R \\geq 1$ there is no $\\psi\\in \\text{Cont}(\\mathbb{R}^{2n} \\times S^1)$, the group of compactly supported contactomorphisms of $\\mathbb{R}^{2n} \\times S^1$ which squeezes $\\hat{B}(R) = B(R) \\times S^1$ into itself, i.e. maps the closure of $\\hat{B}("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08838","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"}