On equivalence of two constructions of invariants of Lagrangian submanifolds.
Recently \textit{Y.-G. Oh} [ J. Differ. Geom. 46, 499--577 (1997; Zbl 0926.53031)], defined symplectic invariants for certain Lagrangian submanifolds in the cotangent bundle \(T^*M\) (with its natural symplectic structure) of a compact manifold \(M\). His construction can be considered as an infinite dimensional version of the construction given earlier by \textit{C. Viterbo} [ Math. Ann. 292, 685--710 (1992; Zbl 0735.58019)]. In a previous paper, the author and Y.-G. Oh showed the relation between the above two invariants, constructing the invariants which interpolate the above two. In this paper, the author proves the details of the construction of the interpolated Floer-Morse theory on \(T^*(M \times {\mathbb R}^m)\) with an arbitary coefficient ring. Moreover, an application of his result to Hofer's geometry of Lagrangian submanifolds is given.
scientific article; zbMATH DE number 1537863