Higher-order invariants of immersions of surfaces into 3-space (Q868753)

This is a sequel to the author's paper [Math. Ann. 328, 261-283 (2004; Zbl 1053.57021)]. In this paper, all finite-order invariants of immersions of a closed orientable surface into 3--space, with value in any abelian group, are classified (the first half of Theorem 3.2). Furthermore, it is shown that any finite-order invariant is a function of an order one invariant (the second half of Theorem 3.2).