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- W2963676184 abstract "In this paper, we study the Seiberg-Witten equations on the product R x Y, where Y is a compact 3-manifold with boundary. Following the approach of Salamon and Wehrheim in the instanton case, we impose Lagrangian boundary conditions for the Seiberg- Witten equations. The resulting equations we obtain constitute a nonlinear, nonlocal boundary value problem. We establish regularity, compactness, and Fredholm properties for the Seiberg- Witten equations supplied with Lagrangian boundary conditions arising from the monopole spaces studied in [20]. This work therefore serves as an analytic foundation for the construction of a monopole Floer theory for 3-manifolds with boundary." @default.
- W2963676184 created "2019-07-30" @default.
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- W2963676184 date "2018-01-01" @default.
- W2963676184 modified "2023-09-24" @default.
- W2963676184 title "The Seiberg–Witten equations on manifolds with boundary II: Lagrangian boundary conditions for a Floer theory" @default.
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- W2963676184 doi "https://doi.org/10.4310/cag.2018.v26.n1.a4" @default.
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