Seiberg–Witten solutions converge to gradient-flow t-orbits
Seiberg–Witten solutions converge to gradient-flow t-orbits
Let be a cylindrical-end -manifold with harmonic Morse function , let be the set of its index- and index- critical points, and let a t-orbit be a weighted collection of -submanifolds tangent to with the stated linking-number conditions. Let be an unbounded sequence in , let be closed -forms satisfying the perturbation constraints and , and let be corresponding solutions. Seiberg–Witten-to-t-orbit convergence conjecture. The sequence t-converges to a t-orbit. Four-dimensional analogues are cited, but the three-dimensional assertion itself is not resolved in the source.
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Primary source
Yi-Jen Lee, “Morse theory and Seiberg-Witten moduli spaces of 3-dimensional cobordisms, I”, arXiv:2412.20710 (2025).
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