Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society
Proves that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ - the Hilbert submanifold $T_{0}(1)$ - is a topological group.
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Proves that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ - the Hilbert submanifold $T_{0}(1)$ - is a topological group. This book defines Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces.
