2010/12/22 by Steven Sivek · 2 citations
Chemistry · Mathematics · Medicine · #Amino acid #Botulinum Toxin and Related Neurological Disorders #Chemistry #Composite material #Finite type invariant #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Invariant polynomial #Knot (papermaking) #Knot invariant #Knot theory #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #math.GT #math.SG #msc:53D42 #msc:57M25 #msc:57R17
paper · pdf · doi:10.4310/jsg.2013.v11.n2.a2
published as J. Symplectic Geom. 11 (2013), no. 2, 167--178 · 11 pages, 3 figures
arxiv created 2010/12/22 · openalex publication_date 2013/01/01 · arxiv updated 2017/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that there exists a Legendrian knot with maximal Thurston-Bennequin invariant whose contact homology is trivial. We also provide another Legendrian knot which has the same knot type and classical invariants but nonvanishing contact homology.