{"doi":"10.2140/agt.2007.7.261","title":"Homological thickness and stability of torus knots","abstract":null,"journal":"Algebraic & Geometric Topology","year":2007,"id":630996,"datarank":0.5709993734655481,"base_score":3.8066624897703196,"endowment":3.8066624897703196,"self_citation_contribution":0.5709993734655481,"citation_network_contribution":0.0,"self_endowment_contribution":0.5709993734655481,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":44,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1634983,"name":"Marko Stošić","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Homological thickness and stability of torus knots","abstract":"In this paper we show that the nonalternating torus knots are homologically thick, ie that their Khovanov homology occupies at least three diagonals. Furthermore, we show that we can reduce the number of full twists of the torus knot without changing certain part of its homology, and consequently, there exists stable homology of torus knots conjectured by Dunfield, Gukov and Rasmussen in Since our main tool is the long exact sequence in homology, we have applied our approach in the case of the Khovanov-Rozansky sl.n/ homology, and thus obtained analogous stability properties of sl.n/ homology of torus knots, also conjectured in","is_dataset_classified":null,"base_score":3.8066624897703196,"endowment":3.8066624897703196,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19767382","pmcid":null,"openalex_id":"https://openalex.org/W2084005905","authors":[],"funders":[{"funder_name":"Fundação para a Ciência e a Tecnologia, I.P.","grant_id":"SFRH/BD/6783/2001","title":"Untitled"}],"total_grants":1,"fwci":2.8823,"citation_percentile":0.89845498,"influential_citations":0,"citation_trend":[{"year":2012,"count":2},{"year":2013,"count":5},{"year":2014,"count":6},{"year":2016,"count":3},{"year":2017,"count":6},{"year":2018,"count":5},{"year":2019,"count":2},{"year":2020,"count":1},{"year":2021,"count":1},{"year":2022,"count":1},{"year":2024,"count":2},{"year":2025,"count":1},{"year":2026,"count":2}],"oa_status":"bronze","license":"arXiv Non-Exclusive Distribution","oa_locations":[{"url":"http://msp.org/agt/2007/7-1/agt-v7-n1-p11-s.pdf","host_type":"journal"},{"url":"http://msp.org/agt/2007/7-1/agt-v7-n1-p11-s.pdf","host_type":"publisher"},{"url":"https://doi.org/10.2140/agt.2007.7.261","host_type":"journal"},{"url":"http://arxiv.org/abs/math/0511532","host_type":"repository"},{"url":"https://projecteuclid.org/euclid.agt/1513796667","host_type":"repository"},{"url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.7336","host_type":""},{"url":"https://arxiv.org/pdf/math/0511532","host_type":"repository"},{"url":"https://dx.doi.org/10.48550/arxiv.math/0511532","host_type":""},{"url":"https://zbmath.org/5220874","host_type":""},{"url":"https://dx.doi.org/10.2140/agt.2007.7.261","host_type":""}],"fields_of_study":["Geometric and Algebraic Topology","Homotopy and Cohomology in Algebraic Topology","Advanced Combinatorial Mathematics","01 natural sciences","0103 physical sciences","0101 mathematics"],"mesh_terms":[],"keywords":["Torus","Mathematics","Homology (biology)","Khovanov homology","Knot (papermaking)","Diagonal","Combinatorics","Mayer–Vietoris sequence","Cellular homology","Pure mathematics","Geometry","Topology (electrical circuits)","Algebra over a field","Cohomology","Biology","torus knots","Geometric Topology (math.GT)","stability","thickness","Mathematics - Geometric Topology","Mathematics - Quantum Algebra","57M25","FOS: Mathematics","Knots and links in the \\(3\\)-sphere","Quantum Algebra (math.QA)"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-05T22:36:43.342325Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}