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Meromorphic differentials on Riemann surfaces are said to be real-normalizedif all their periods are real. Moduli spaces of real-normalized differentialson Riemann surfaces of given genus with prescribed orders of their poles andresidues admit stratification by orders of zeroes of the differentials. Subsetsof real-normalized differentials with the fixed polarized module of periodscompose isoperiodic subspaces, which also admit this stratification. In thiswork we prove the connectedness of the principal stratum for the isoperiodicsubspaces in the space of real-normalized differentials with a single pole oforder two when all the periods are incommesurable.

Principal stratum in the moduli space of real-normalized differentials with a single pole