A generalization of Barannikov-Kontsevich theorem

Takuro Mochizuki

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arXiv · 2508.18690

A generalization of Barannikov-Kontsevich theorem

Takuro Mochizuki

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Abstract

We study the twisted de Rham complex associated with a holomorphic function on a K\"ahler manifold whose critical point set is compact. We prove the $E_1$-degeneration of the Hodge-to-de Rham spectral sequence. It is a generalization of Barannikov-Kontsevich Theorem.

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Takuro Mochizuki. 2025-08-26. A generalization of Barannikov-Kontsevich theorem. https://arxiv.org/abs/2508.18690

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