A stable cohomotopy refinement of Seiberg-Witten invariants. I

DOI10.1007/s00222-003-0288-5zbMath1050.57024arXivmath/0204340OpenAlexW2949114272MaRDI QIDQ1434280

Publication date: 7 July 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204340

zbMATH Keywords

Seiberg-Witten invariants stable cohomotopy groups

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Differentiable structures in differential topology (57R55) Cohomotopy groups (55Q55)

Related Items

The Triangulation of Manifolds: Topology, Gauge Theory, and History, Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture, A Survey of the Thurston Norm, Monopoles over 4-manifolds containing long necks. I, Constraints on families of smooth 4-manifolds from Bauer-Furuta invariants, \(\text{Pin}^-(2)\)-monopole equations and intersection forms with local coefficients of four-manifolds, The Conley index, gauge theory, and triangulations, Tautological classes of definite 4-manifolds, Positive scalar curvature and homology cobordism invariants, The simple type conjecture for mod 2 Seiberg-Witten invariants, Seiberg-Witten invariants, the topological degree and wall crossing formula, Intersection forms of spin 4-manifolds and the pin(2)-equivariant Mahowald invariant, Instanton Floer homology for lens spaces, A cohomological Seiberg–Witten invariant emerging from the adjunction inequality, On the Bauer–Furuta and Seiberg–Witten invariants of families of 4‐manifolds, On the slice genus of quasipositive knots in indefinite 4-manifolds, Otopy classes of equivariant maps, On the nonexistence of Einstein metrics on 4-manifolds, Unfolded Seiberg-Witten Floer spectra. II: Relative invariants and the gluing theorem, Isotopy of the Dehn twist on \(K\,3\,\#\,K\,3\) after a single stabilization, On modular cohomotopy groups, Constraints on families of smooth 4-manifolds from \(\operatorname{Pin}^-(2)\)-monopole, Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends, Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow, A stable cohomotopy refinement of Seiberg-Witten invariants. II, Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space, Twisted Donaldson invariants, Characteristic cohomotopy classes for families of 4-manifolds, Perelman's \(\lambda\)-functional and Seiberg-Witten equations, A gluing formula for families Seiberg-Witten invariants, Dissolving 4-manifolds, covering spaces and Yamabe invariant, Characteristic classes via 4-dimensional gauge theory, 4-manifolds and topological modular forms, Mod \(p\) equality theorem for Seiberg-Witten invariants under \(\mathbb Z_p\)-actions, \(G\)-monopole invariants on some connected sums of 4-manifolds, Bauer-Furuta invariants under \({\mathbb{Z}_2}\)-actions, Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds, Connected components of the space of proper gradient vector fields, A Bauer-Furuta-type refinement of Kronheimer and Mrowka's invariant for 4-manifolds with contact boundary, Covering-monopole map and higher degree in non-commutative geometry, Induced map on \(K\)-theory for certain \(\Gamma \)-equivariant maps between Hilbert spaces, Geometrically simply connected 4-manifolds and stable cohomotopy Seiberg-Witten invariants, The Yamabe invariant, The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, A new gauge slice for the relative Bauer-Furuta invariants, Stable cohomotopy Seiberg–Witten invariants of connected sums of four-manifolds with positive first Betti number, I: Non-vanishing theorem, A note on generalized Thurston–Bennequin inequalities

Cites Work