Classifies L-space surgery sets on all two-bridge links using a new foliar condition, simplified HF model, and Turaev torsions, yielding volume bounds and satellite knot classifications.
Holomorphic disks and topological invariants for closed three-manifolds , Url =
3 Pith papers cite this work. Polarity classification is still indexing.
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Constructs non-split 2-component links in S^4 to obtain topologically split but smoothly non-split links in #^n CP^2, yielding exotic simply connected definite 4-manifolds with boundary and exotic Mazur manifold embeddings in S^4.
Establishes rank inequality for knot Floer homology of freely 2-periodic knots versus quotients using spectral sequence, with Seifert genus corollary.
citing papers explorer
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On L-space surgeries on two-bridge links
Classifies L-space surgery sets on all two-bridge links using a new foliar condition, simplified HF model, and Turaev torsions, yielding volume bounds and satellite knot classifications.
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Links of Mazur manifolds and exotica
Constructs non-split 2-component links in S^4 to obtain topologically split but smoothly non-split links in #^n CP^2, yielding exotic simply connected definite 4-manifolds with boundary and exotic Mazur manifold embeddings in S^4.
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A note on the knot Floer homology of freely 2-periodic knots and their quotients
Establishes rank inequality for knot Floer homology of freely 2-periodic knots versus quotients using spectral sequence, with Seifert genus corollary.