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Chinese Annals of Mathematics, Series B : Volume 35, Issue 3, May 2014

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Chinese Annals of Mathematics, Series B : Volume 35, Issue 1, January 2014

Chinese Annals of Mathematics, Series B : Volume 34

Chinese Annals of Mathematics, Series B : Volume 33

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Chinese Annals of Mathematics, Series B : Volume 27

On a spectral sequence for twisted cohomologies

Content Provider	Springer Nature Link
Author	Li, Weiping Liu, Xiugui Wang, He
Copyright Year	2014
Abstract	Let (Ω(M), d) be the de Rham cochain complex for a smooth compact closed manifolds M of dimension n. For an odd-degree closed form H, there is a twisted de Rham cochain complex (Ω(M), d + H $_{∧}$) and its associated twisted de Rham cohomology H(M,H). The authors show that there exists a spectral sequence {E r p,q , d $_{ r }$} derived from the filtration $F_p (\Omega ^ (M)) = \mathop \oplus \limits_{i \geqslant p} \Omega ^i (M)$ of ΩM, which converges to the twisted de Rham cohomology H(M,H). It is also shown that the differentials in the spectral sequence can be given in terms of cup products and specific elements of Massey products as well, which generalizes a result of Atiyah and Segal. Some results about the indeterminacy of differentials are also given in this paper.
Starting Page	633
Ending Page	658
Page Count	26
File Format	PDF
ISSN	02529599
Journal	Chinese Annals of Mathematics, Series B
Volume Number	35
Issue Number	4
e-ISSN	18606261
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-07-05
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Spectral sequence Twisted de Rham cohomology Massey product Differential Determinants and determinant bundles, analytic torsion String and superstring theories; other extended objects Mathematics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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