Periods of iterated integrals of holomorphic forms on a compact Riemann surface
Periods of iterated integrals of holomorphic forms on a compact Riemann surface
Holomorphic forms are integrated iteratedly along paths in a compact Riemann surface $M$ of genus $g$, thus inducing a homomorphism from the fundamental group $\Gamma = {\pi _1}(M,{P_0})$ to a proper multiplicative subgroup $G$ of the group of units in $\widehat {T({\Omega ^{1 \ast }})}$, where ${\Omega ^1}$ denotes the …