The link surgery modules of 2-component L-space links
Daren Chen, Ian Zemke, Hugo Zhou
TL;DR
This paper extends previous work on the algebraic structures of 2-component L-space links by using Koszul duality to compute their entire link surgery modules, advancing understanding of their topological invariants.
Contribution
It introduces a new approach using Koszul duality to fully compute link surgery modules of 2-component L-space links, building on prior partial results.
Findings
Complete computation of link surgery modules for 2-component L-space links
Demonstration of Koszul duality as a tool in link invariants
Extension of previous partial results to full modules
Abstract
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Holomorphic and Operator Theory · Algebraic and Geometric Analysis