The present paper is a continuation of our earlier work. It explores how the spectral sequence introduced there interacts with the presence of bubbling. As consequences are obtained some relations between binary Gromov–Witten invariants and relative Ganea–Hopf invariants, a criterion for detecting the monodromy of bubbling as well as algebraic criteria for the detection of periodic orbits.
"Quantization of the Serre spectral sequence." J. Symplectic Geom. 5 (3) 249 - 280, September 2007.