A note on applications of the d-invariant and Donaldson's theorem

作者：Greene Joshua Evan^*

来源：Journal of Knot Theory and Its Ramifications, 2017, 26(2): 1740006.

DOI：10.1142/S0218216517400065

• Alternating link
• d-invariant
• Dehn surgery
• Donaldson's theorem
• lens space
• mutation

This paper 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 [J. E. Greene, Lattices, graphs, and Conway mutation, Invent. Math. 192(3) (2013) 717-750] concerning Conway mutation of alternating links.

• 出版日期2017-2