Simple singularities and topology of symplectically filling 4-manifold

DOI10.1007/s000140050106zbMath0957.57022OpenAlexW2021731108MaRDI QIDQ1969354

Hiroshi Ohta, Kaoru Ono

Publication date: 22 March 2001

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050106

zbMATH Keywords

simple singularitysymplectic fillingSeiberg-Witten monopole equationsfillable contact structuresimply elliptic singularity

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) General geometric structures on low-dimensional manifolds (57M50) Milnor fibration; relations with knot theory (32S55)

Related Items (21)

On symplectic fillings ⋮ A few remarks about symplectic filling ⋮ Holomorphic disks and genus bounds ⋮ Stein fillings of homology 3-spheres and mapping class groups ⋮ Four-dimensional symplectic cobordisms containing three-handles ⋮ Exotic Stein fillings with arbitrary fundamental group ⋮ On 3-manifolds that are boundaries of exotic 4-manifolds ⋮ Planar open books, monodromy factorizations and symplectic fillings ⋮ Admissible transverse surgery does not preserve tightness ⋮ Lefschetz fibrations, open books, and symplectic fillings of contact 3-manifolds ⋮ On the geography of Stein fillings of certain 3-manifolds ⋮ The monopole equations and 𝐽-holomorphic curves on weakly convex almost Kähler 4-manifolds ⋮ On symplectic fillings of links of rational surface singularities with reduced fundamental cycle ⋮ A note on positive-definite, symplectic four-manifolds ⋮ Classification of tight contact structures on surgeries on the figure-eight knot ⋮ On symplectic fillings of lens spaces ⋮ Embedding fillings of contact 3-manifolds ⋮ Contact structures on plumbed 3-manifolds ⋮ Khovanov homology, open books, and tight contact structures ⋮ Symplectic fillings of lens spaces as Lefschetz fibrations ⋮ Symplectic fillings of links of quotient surface singularities

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