Fiber Structure and Local Coordinates for the Teichmüller Space of a Bordered Riemann Surface
نویسنده
چکیده
We show that the infinite-dimensional Teichmüller space of a Riemann surface whose boundary consists of n closed curves is a holomorphic fiber space over the Teichmüller space of n-punctured surfaces. Each fiber is a complex Banach manifold modeled on a twodimensional 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.
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