The link surgery modules of 2-component L-space links

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Hauptverfasser: Chen, Daren, Zemke, Ian, Zhou, Hugo
Format: Preprint
Veröffentlicht: 2026
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_version_ 1866918268821831680
author Chen, Daren
Zemke, Ian
Zhou, Hugo
author_facet Chen, Daren
Zemke, Ian
Zhou, Hugo
contents In our earlier work, we studied the link surgery modules of two component L-space links. Therein, we computed two of the four idempotents of such modules. In this article, we use Koszul duality to give an alternate account of this proof, and also to extend it to compute the entire link surgery modules of such links, modulo a technical result which will be proven in a subsequent paper.
format Preprint
id arxiv_https___arxiv_org_abs_2601_00253
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The link surgery modules of 2-component L-space links
Chen, Daren
Zemke, Ian
Zhou, Hugo
Geometric Topology
57K18, 57K31
In our earlier work, we studied the link surgery modules of two component L-space links. Therein, we computed two of the four idempotents of such modules. In this article, we use Koszul duality to give an alternate account of this proof, and also to extend it to compute the entire link surgery modules of such links, modulo a technical result which will be proven in a subsequent paper.
title The link surgery modules of 2-component L-space links
topic Geometric Topology
57K18, 57K31
url https://arxiv.org/abs/2601.00253