NDLI: Chern-Simons-Maslov Classes of some Symplectic Vector Bundles

Content Provider	Scilit
Author	Suzuki, Haruo
Copyright Year	1993
Description	Let ${E_0},\;{J_0}$, and ${L_0}$ be the symplectic $2n$-vector bundle, the compatible complex operator, and the Lagrangian subbundle that are determined by the $U(n)$-extension of the principal $O(n)$-bundle $U(n) \to U(n)/O(n)$. We compute the Chern-Simons-Maslov class ${\mu ^1}({E_0},{J_0},{L_0})$. Then for a trivial symplectic $2n$-bundle $E$, a compatible complex operator $J$, and a Lagrangian subbundle $L$, we compute Chern-Simons-Maslov classes ${\mu ^h}(E,J,L)$ under some condition on the base space of $E$.
Related Links	https://www.ams.org/proc/1993-117-02/S0002-9939-1993-1124152-X/S0002-9939-1993-1124152-X.pdf
Ending Page	546
Page Count	6
Starting Page	541
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2159194
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	117
Language	English
Publisher	Duke University Press
Publisher Date	1993-02-01
Access Restriction	Open
Subject Keyword	Mathematical Physics Vector Bundle Symplectic Maslov Classes Simons Maslov Chern J_0 L_0 E_0
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Chern-Simons-Maslov Classes of some Symplectic Vector Bundles