On the Morse--Novikov Cohomology of blowing up complex manifolds

Yongpan Zou

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arXiv · 1907.13336

On the Morse--Novikov Cohomology of blowing up complex manifolds

Yongpan Zou

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Abstract

Inspired by the recent works of S. Rao--S. Yang--X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse--Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse--Novikov cohomology by introducing the relative Morse--Novikov cohomology group via sheaf cohomology theory and presenting the explicit isomorphism therein.

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Yongpan Zou. 2019-07-31. On the Morse--Novikov Cohomology of blowing up complex manifolds. https://arxiv.org/abs/1907.13336

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