2021/03/02 by Allison N. Miller, Miller, Allison N., JungHwan Park +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #57K10 #Connective tissue disorders research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2103.01726
openalex publication_date 2021/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We show that the difference between the topological 4-genus of a knot and the minimal genus of a surface bounded by that knot that can be decomposed into a smooth concordance followed by an algebraically simple locally flat surface can be arbitrarily large. This extends work of Hedden-Livingston-Ruberman showing that there are topologically slice knots which are not smoothly concordant to any knot with trivial Alexander polynomial.