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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4 Pith papers cite this work. Polarity classification is still indexing.
years
2026 4verdicts
UNVERDICTED 4representative citing papers
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
Proves contact cosmetic surgery conjecture holds for Legendrian knots in L-spaces except possibly Lagrangian slice knots via adapted Heegaard Floer techniques.
T-positive links are precisely the strongly quasipositive links that are closures of T-homogeneous braids, strictly containing non-split braid positive links, with all strongly quasipositive fibered knots up to 12 crossings being T-positive.
citing papers explorer
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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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Prescribing geodesics and a variational problem for Riemannian metrics
A variational functional E on Riemannian metrics vanishes precisely when geodesics realize prescribed unparametrised paths, and every conformal class on a surface admits a unique (up to homothety) conformally critical metric for E.
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Contact cosmetic surgery on Legendrian knots in integer homology sphere $L$-spaces
Proves contact cosmetic surgery conjecture holds for Legendrian knots in L-spaces except possibly Lagrangian slice knots via adapted Heegaard Floer techniques.
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On T-positive links
T-positive links are precisely the strongly quasipositive links that are closures of T-homogeneous braids, strictly containing non-split braid positive links, with all strongly quasipositive fibered knots up to 12 crossings being T-positive.