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

preprint2022arXivOpen access

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 BMδω^{BM} δ^ω and δωδ^ω resp. BMγω^{BM} γ^ω and γωγ^ω in complementary dimensions, b) the stability property for the configurations δrω,δ^ω_r, a) a result needed for the proof of Theorems 1.2 and 1.3 stated the paper mentioned above.

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