2014/09/30 by Maciej Borodzik, Borodzik, Maciej, Stefan Friedl +3
Computer Science · Mathematics · #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1409.8421
openalex publication_date 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a link in S3 we will use invariants derived from the Alexander module and the Blanchfield pairing to obtain lower bounds on the Gordian distance between links, the unlinking number and various splitting numbers. These lower bounds generalise results recently obtained by Kawauchi. We give an application restricting the knot types which can arise from a sequence of splitting operations on a link. This allows us to answer a question asked by Colin Adams in 1996.