评论: 8 pp, 2 figs; We thank Tim Cochran for pointing out that Prop. 1 appeared in Thm. 4.1 of his "Non-trivial links and plats with trivial Gassner matrices," MATH PROC CAMBRIDGE (1996) prior to the work of Birman-Menasco that we cited in v2. We have revised the abstract and intro of our paper accordingly
评论: 9 pages, 1 figure, Definition of sutured annular Khovanov homology in Section 2.1 has significant text overlap with arXiv: 1212.2222; Version 2 incorporates referee comments. This is the version accepted for publication in 数学ematical 太阳城官网 Letters
主题:几何学etric 托波尔ogy (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)
评论: 12 pages, 2 figures. Version 2 has a new, entirely combinatorial, proof that sutured annular Khovanov homology detects the trivial braid, involving a relationship between Plamenevskaya's invariant of transverse links and the Dehornoy order on the braid group
主题:几何学etric 托波尔ogy (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT)
评论: 56 pages, 12 figures; This is the version published by Selecta 数学ematica. Incorporated referee's suggestions, trimming background material on A_\infty algebras/modules. 新增第7节, providing an example of a braid for which the A_\infty structures of its associated Khovanov-Seidel and bordered Floer bimodules differ
评论: 23 pages, 7 figures; This is the published version. Important note: In the statement of Theorem 3.1出现在v中.1, the "only if" direction of the final sentence is FALSE. This has been corrected in v.2. We are grateful to Matt Hedden for pointing out the mistake
评论: 46页, 13 figures; Unnecessary assumptions in statement of link surgeries spectral sequence (Section 4) removed, references updated, minor typos corrected throughout
评论: 20页, 14 figures; Minor expositional improvements, typos corrected throughout (most seriously, x,y coordinates used in discussion of intersection points beginning page 13 of previous version were incorrectly--but consistently--flipped)