Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.
Seiberg-Witten invariants and real curves
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abstract
On a compact oriented four-manifold with an orientation preserving involution c, we count solutions of Seiberg-Witten equations, which are moreover symmetrical in relation to c, to construct "real" Seiberg-Witten invariants. Using Taubes' results, we prove that on a symplectic almost complex manifold with an antisymplectic and antiholomorphic involution, this invariants are not all trivial, and that the canonical bundle is represented by a real holomorphic curve.
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math.GT 1years
2026 1verdicts
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Multi-framed real monopole Floer theory
Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.