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Chainmail links and $L$-spaces

Ian Agol
Vol. 341 (2026), No. 2, 199–218
DOI: 10.2140/pjm.2026.341.199
Abstract

We prove that alternating chainmail links are L-space links. The proof is inspired by corresponding proofs for double branched covers of alternating links. More generally, we show that flat augmented chainmail links are generalized L-space links. Some other properties of these links are also considered.

Keywords
alternating link, Heegaard Floer homology
Mathematical Subject Classification
Primary: 57K18
Milestones
Received: 20 July 2023
Revised: 22 June 2025
Accepted: 29 November 2025
Published: 23 March 2026
Authors
Ian Agol
Department of Mathematics
University of California, Berkeley
Berkeley, CA
United States
© 2026 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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