A general family of conformal invariants is defined via one-forms on Teichmüller space of infinite type and shown equivalent to generalized modular invariants, generating modules, period mappings, and inequalities as special cases.
Scattering theory of harmonic one-forms on Riemann surfaces
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A unified approach to conformal and modular invariants
A general family of conformal invariants is defined via one-forms on Teichmüller space of infinite type and shown equivalent to generalized modular invariants, generating modules, period mappings, and inequalities as special cases.