The $d$-invariant of surgeries on $2$-component L-space links

arXiv:2610.31853v1 Announce Type: new Abstract: Gorsky, B. Liu and Moore provided a formula for the $d$-invariants of integral surgeries on $2$-component $L$-space links with linking number $0$. This paper generalizes these results to the nonzero linking number case. We describe how the $d$-invariant depends on the definiteness of the framing matrix and provide formulae for certain families of positive definite framings, as well as a skein relation for non-algebraically split links.

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