{"paper":{"title":"Quantum Link Homology via Trace Functor I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.QA"],"primary_cat":"math.GT","authors_text":"Anna Beliakova, Krzysztof Karol Putyra, Stephan Martin Wehrli","submitted_at":"2016-05-11T17:24:36Z","abstract_excerpt":"Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a~pair: bicategory $\\mathbf{C}$ and endobifunctor $\\Sigma\\colon \\mathbf C \\to\\mathbf C$. For a graded linear bicategory and a fixed invertible parameter $q$, we quantize this theory by using the endofunctor $\\Sigma_q$ such that $\\Sigma_q \\alpha:=q^{-\\deg \\alpha}\\Sigma\\alpha$ for any 2-morphism $\\alpha$ and coincides with $\\Sigma$ otherwise.\n  Applying the quantized trace to the~bicategory of Chen-Khovanov bimodules we get a new triply graded link homology theory called quantum annular link "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03523","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"}