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PreprintCC BY 4.0arXiv

A proof of the framed LMOV conjecture for links

  • Kefeng Liu
  • Pan Peng
  • Shengmao Zhu
Open at sourcePDFDOICite

Abstract

We prove the Labastida--Mariño--Ooguri--Vafa conjecture for oriented links with arbitrary integer framings. Consequently, the framed reformulated invariants have finite integral LMOV expansions for every integer framing vector.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026proof,
  title = {{A proof of the framed LMOV conjecture for links}},
  author = {Kefeng Liu and Pan Peng and Shengmao Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18618},
  eprint = {2610.18618},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18618},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A proof of the framed LMOV conjecture for links
AU  - Kefeng Liu
AU  - Pan Peng
AU  - Shengmao Zhu
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18618
UR  - https://arxiv.org/abs/2610.18618
AB  - We prove the Labastida--Mariño--Ooguri--Vafa conjecture for oriented links with arbitrary integer framings. Consequently, the framed reformulated invariants have finite integral LMOV expansions for every integer framing vector.
ER  -