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A NOTE ON THE MORSE–NOVIKOV COHOMOLOGY OF BLOW-UPS OF LOCALLY CONFORMAL KÄHLER MANIFOLDS

Part of: Global differential geometry

Published online by Cambridge University Press:  14 October 2014

XIANGDONG YANG  and
GUOSONG ZHAO
XIANGDONG YANG*
Affiliation:
Department of Mathematics, Sichuan University, Chengdu 610064, PR China email [email protected]
GUOSONG ZHAO
Affiliation:
Department of Mathematics, Sichuan University, Chengdu 610064, PR China email [email protected]
*
✉[email protected]
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Abstract

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We prove a blow-up formula for Morse–Novikov cohomology on a compact locally conformal Kähler manifold.

Keywords

locally conformal Kähler manifoldMorse–Novikov cohomologyblow-up formula

MSC classification

Primary: 53C55: Hermitian and Kählerian manifolds
Secondary: 53C56: Other complex differential geometry
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 1 , February 2015 , pp. 155 - 166
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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