English

Correction to the article: Floer homology and splicing knot complements

Geometric Topology 2020-12-16 v1

Abstract

This note corrects the mistakes in the splicing formulas of the paper "Floer homology and splicing knot complements". The mistakes are the result of the incorrect assumption that for a knot KK inside a homology sphere YY, the involution on the knot Floer homology of KK which corresponds to moving the basepoints by one full twist around KK is trivial. The correction implicitly involves considering the contribution from this (possibly non-trivial) involution in a number of places.

Keywords

Cite

@article{arxiv.1710.10417,
  title  = {Correction to the article: Floer homology and splicing knot complements},
  author = {Eaman Eftekhary},
  journal= {arXiv preprint arXiv:1710.10417},
  year   = {2020}
}