 The space formula_5 is generated by the following relations.The boundary operator formula_22 is defined by

where formula_24 are components of the polar divisor of formula_10, "res" is the Poincaré residue, and formula_26 are restrictions of the map "f" to each component of the divisor.Khesin and Rosly proved that this boundary operator is well defined, and satisfies formula_27.