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arXiv:1808.01057 [math.DG]AbstractReferencesReviewsResources

Morse-Novikov cohomology on complex manifolds

Lingxu Meng

Published 2018-08-03Version 1

We view Dolbeault-Morse-Novikov cohomology H_\eta^{p,q}(X) as the cohomology of the weight \eta-sheaf \Omiga_{X,\eta}^p of holomorphic p-forms and give several bimeromorphic invariants. At last, we consider the relations between Morse-Novikov cohomology and Dolbeault-Morse-Novikov cohomology, and moreover, investigate their stabilities. In some aspects, Morse-Novikov and Dolbeault-Morse-Novikov cohomology behave similarly with de Rham and Dolbeault cohomology.

Categories: math.DG, math.CV
Subjects: 32C35, 57R19
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