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arXiv · 2009.05858

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

Dan Burghelea
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Abstract

This paper is a continuation of Alternative to Morse-Novikov Theory for a closed 1-form(I), and establishes: a) a refinement of Poincar\'e 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 $\delta^\omega_r,$ a) a result needed for the proof of Theorems 1.2 and 1.3 stated the paper mentioned above.

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Dan Burghelea. 2020-09-12. Alternative to Morse-Novikov Theory for a closed 1-form (II). https://arxiv.org/abs/2009.05858

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