A note on applications of the d-invariant and Donaldson's theorem
Geometric Topology
2015-12-29 v1
Abstract
This note contains two remarks about the application of the d-invariant in Heegaard Floer homology and Donaldson's diagonalization theorem to knot theory. The first is the equivalence of two obstructions they give to a 2-bridge knot being smoothly slice. The second carries out a suggestion by Stefan Friedl to replace the use of Heegaard Floer homology by Donaldson's theorem in the proof of the main result of Invent. Math. 192 (2013) no.3 717-750 concerning Conway mutation of alternating links.
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Cite
@article{arxiv.1512.08244,
title = {A note on applications of the d-invariant and Donaldson's theorem},
author = {Joshua Evan Greene},
journal= {arXiv preprint arXiv:1512.08244},
year = {2015}
}
Comments
7 pages, 1 figure