Fiber structure and local coordinates for the teichmüller space of a bordered riemann surface

We show that the infinite-dimensional Teichmüller space of a Riemannsurface whose boundary consists of n closed curves is a holomorphicfiber space over the Teichmüller space of an n-punctured surface. Each fiber is a complex Banach manifold modeled on a two-dimensional extension of the universal Teichmüller space. The local model of the fiber, together with the coordinates from internal Schiffer variation, provides new holomorphic local coordinates for the infinite-dimensional Teichmüller space.