A new family of Teichmüller spaces parameterized by subsets of the unit circle is defined, shown to be complex Banach manifolds, with quotient spaces carrying compatible complex structures.
Cui, Integrably asymptotic affine homeomorphisms of the circle and Teichm¨ uller spaces, Sci
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Teichm\"uller spaces of piecewise symmetric homeomorphisms on the unit circle
A new family of Teichmüller spaces parameterized by subsets of the unit circle is defined, shown to be complex Banach manifolds, with quotient spaces carrying compatible complex structures.