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We correct the definitions and descriptions of the integral structures in[U14]. The previous flat basis in [ibid] is characterized by the Frobeniussolutions and integral in the first approximation by mean of the gradedquotients of monodromy filtration, but not integral in the strict sense. Inthis article, we use the integral structure of Iritani in [I11] for A-model.Using this precise version, we study open mirror symmetry for quinticthreefolds through log mixed Hodge theory, especially the recent result onNeron models for admissible normal functions with non-torsion extensions in thejoint work [KNU14] with K. Kato and C. Nakayama. We understand asymptoticconditions as values in the fiber over a base point on the boundary of S^{log}.

Studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory