{"paper":{"title":"Search for torsion in Khovanov homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"J\\'ozef H. Przytycki, Marithania Silvero, Seung Yeop Yang, Sujoy Mukherjee, Xiao Wang","submitted_at":"2017-01-18T02:08:57Z","abstract_excerpt":"In the Khovanov homology of links, presence of $\\mathbb{Z}_2$-torsion is a very common phenomenon. Finite number of examples of knots with $\\mathbb{Z}_n$-torsion for $n>2$ were also known, none for $n>8$. In this paper, we prove that there are infinite families of links whose Khovanov homology contains $\\mathbb{Z}_n$-torsion for $2 < n < 9$ and $\\mathbb{Z}_{2^s}$-torsion for $s < 24$. We also introduce $4$-braid links with $\\mathbb{Z}_3$-torsion which are counterexamples to the PS braid conjecture. We also provide an infinite family of knots with $\\mathbb{Z}_5$-torsion in reduced Khovanov homo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04924","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"}