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PreprintarXiv licencearXiv

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

  • Nathan Li
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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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Cite

BibTeXRIS
BibTeX
@misc{li2026dinvariant,
  title = {{The $d$-invariant of surgeries on $2$-component L-space links}},
  author = {Nathan Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31853},
  eprint = {2610.31853},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31853},
}
RIS
TY  - UNPB
TI  - The d-invariant of surgeries on $2$-component L-space links
AU  - Nathan Li
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31853
UR  - https://arxiv.org/abs/2610.31853
AB  - 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.
ER  -