pith. sign in

arxiv: 1208.5788 · v1 · pith:I7IKX73Knew · submitted 2012-08-28 · 🧮 math.GT

Structure in the bipolar filtration of topologically slice knots

classification 🧮 math.GT
keywords bipolarknotsfiltrationknotmodulotopologicallyalexanderassociated
0
0 comments X
read the original abstract

Let T denote the group of smooth concordance classes of topologically sice knots. We show that the first quotient in the bipolar filtration of T (i.e. 0-bipolar knots modulo 1-bipolar knots) has infinite rank, even modulo Alexander polynomial one knots. Any 0-bipolar knot has vanishing tau-, epsilon-, and s-invariants. We prove the result using d-invariants associated to the 2-fold branched covers of knot complements.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.