Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part I

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Lagrangian cobordism. I (2011, background): “ on L0, L1 (such as orientability and prescribed spin structures) the moduli spaces of Floer strips can be canonically oriented which imply the sings ε(u) ∈ Z, hence one can work with any ring K. See [FOOO3] for a detailed account on how to deﬁne orientations in Floer theory. Under the preceding ass”
Homological mirror symmetry for Brieskorn–Pham singularities (2009, background): “It is an A∞-category whose spaces of morphisms are given by Lagrangian intersection Floer complexes, and A∞-operations are defined by counting virtual numbers of stable maps of genus zero with Lagrangian boundary conditions [5].”
Polyfold and Fredholm Theory (2014, background): “ give precisely the data from which one can deﬁne the GromovWitten invariants, see [28]. Remark 4.33. There is, of course, a large literature on Gromov-Witten invariants and further developments, see [13, 14, 35, 36, 48, 49, 52, 39, 40, 41, 42]. All the methods diﬀer. In some sense, all the approach”