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4-manifolds 1ambient isotopy 1homology 1knotted surfaces 1locally flat embeddings 1simply-connected complements 1

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math.GT2026

Knotted surfaces with simply-connected complements

Audrick Pyronneau

The paper investigates compact, oriented surfaces with a given knot as boundary that sit inside simply‑connected 4‑manifolds, showing that homologous surfaces with trivial compleme…