Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.
A General Fredholm Theory I: A Splicing-Based Differential Geometry
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This is the first paper in a series introducing a generalized Fredholm theory in a new class of smooth spaces called polyfolds. The theory will be illustrated in upcoming papers by applications to Floer Theory, Gromov-Witten Theory and Symplectic Field Theory.
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Existence of pseudo-holomorphic disks via non-archimedean disk potentials
Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.