Alternative to Morse-Novikov Theory for a closed 1-form (II)

Abstract

This paper is a continuation of Alternative to Morse-Novikov Theory for a closed 1-form(I), and establishes: a) a refinement of Poincaré duality to an equality between the configurations ${}^{BM}{\delta }^{\omega }$ and ${\delta }^{\omega }$ resp. ${}^{BM}{\gamma }^{\omega }$ and ${\gamma }^{\omega }$ in complementary dimensions, b) the stability property for the configurations ${\delta }_r^{\omega },$ a) a result needed for the proof of Theorems 1.2 and 1.3 stated the paper mentioned above.

arXiv comment34 pages. Minor corrections to a previous version and a few additional details