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We show that the infinite-dimensional Teichmueller space of a Riemann surfacewhose boundary consists of n closed curves is a holomorphic fiber space overthe Teichmueller space of n-punctured surfaces. Each fiber is a complex Banachmanifold modeled on a two-dimensional extension of the universal Teichmuellerspace. The local model of the fiber, together with the coordinates frominternal Schiffer variation, provides new holomorphic local coordinates for theinfinite-dimensional Teichmueller space.

Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface