2020/12/10 by William Ballinger, Ballinger, William
Computer Science · Mathematics · #57K18 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57K18 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2012.06030
13 pages, 4 figures
arxiv created 2020/12/10 · openalex publication_date 2020/12/10 · arxiv updated 2020/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By considering a version of Khovanov homology incorporating both the Lee and E(-1) differentials, we construct a 1-parameter family of concordance homomorphisms similar to the Upsilon invariant from knot Floer homology. This invariant gives lower bounds on the slice genus and can be used to prove that certain infinite families of pretzel knots are linearly independent in the smooth concordance group.