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Holomorphic disks and link invariants

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arxiv math/0512286 v2 pith:FCZNLDWL submitted 2005-12-13 math.GT math.SG

classification math.GTmath.SG
keywords definedisksfloer-homologyholomorphicinvariantinvariantslinklinks
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abstract

We define a Floer-homology invariant for links in $S^3$, and study its properties.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

    math-ph 2025-01 conditional novelty 6.0 of 10

    First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

  2. Quantum invariants of 3-manifolds and links: a review

    math-ph 2025-09 unverdicted novelty 1.0 of 10

    This is a survey, not a new result: it reviews the q-series invariants Zhat, F_K, F_L and their supergroup analogues, collecting known conjectures, theorems, and examples.

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