Geometrically simply connected 4-manifolds and stable cohomotopy Seiberg-Witten invariants
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Publication:2331025
DOI10.2140/gt.2019.23.2685zbMath1428.57013arXiv1807.11453OpenAlexW2884521952WikidataQ127028929 ScholiaQ127028929MaRDI QIDQ2331025
Publication date: 24 October 2019
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.11453
4-manifoldconnected sumsymplectic structurehandlebody decompositionstable cohomotopy Seiberg-Witten invariant
Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) Surgery and handlebodies (57R65) Differentiable structures in differential topology (57R55)
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Cites Work
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- Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow
- The Dolgachev surface. Disproving the Harer-Kas-Kirby conjecture.
- Nuclei of elliptic surfaces
- Exotic rational elliptic surfaces without 1-handles
- Branched covers of surfaces in 4-manifolds
- Orientation-reversing homeomorphisms in surface geography
- On handlebody structures for hypersurfaces in \(\mathbb{C}^3\) and \(\mathbb{C} P^3\)
- Knots, links, and 4-manifolds
- Minimal genus in \(S^1\times M^3\)
- A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture
- A stable cohomotopy refinement of Seiberg-Witten invariants. I
- A stable cohomotopy refinement of Seiberg-Witten invariants. II
- Representing homology classes of simply connected 4-manifolds
- Stable cohomotopy Seiberg-Witten invariants of connected sums of four-manifolds with positive first Betti number. II: Applications
- A note on positive-definite, symplectic four-manifolds
- The genus of embedded surfaces in the projective plane
- The Seiberg-Witten invariants and symplectic forms
- Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants
- Curvature, connected sums, and Seiberg-Witten theory
- Monopoles over 4-manifolds containing long necks. I
- Holomorphic triangles and invariants for smooth four-manifolds
- Reducible smooth structures on 4-manifolds with zero signature
- Small exotic rational surfaces without 1- and 3-handles
- The geography of symplectic 4-manifolds with an arbitrary fundamental group
- Handlebody decompositions of complex surfaces
- Special Handlebody Decompositions of Simply-Connected Algebraic Surfaces
- Orientations and Geometrisations of Compact Complex Surfaces
- Stable cohomotopy Seiberg–Witten invariants of connected sums of four-manifolds with positive first Betti number, I: Non-vanishing theorem
- Elliptic surfaces without 1-handles