Family of Jacobian manifolds and characteristic classes of surface bundles
type: Item
instance of: scholarly article
title: Family of Jacobian manifolds and characteristic classes of surface bundles
zbMATH Open document ID: 0573.57009
author: Shigeyuki Morita
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: In our previous papers [see, e.g., Bull. Am. Math. Soc. 11, New Ser., 386-388 (1984); ''Characteristic classes of surface bundles, I'' (preprint); II (in preparation); ''Characteristic classes of \(T^ 2\)- bundles (preprint)], we have defined characteristic classes for surface bundles, namely differentiable fibre bundles whose fibres are closed orientable surfaces, and investigated general properties of them. The purpose of the present note is to announce new results concerning them. More precisely we study cohomological properties of the natural map from a given surface bundle to its associated ''family of Jacobian manifolds'' and by using them, we derive a rather strong linear dependence relations among our characteristic classes.
Mathematics Subject Classification ID: 57R22
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 55R10
zbMATH DE Number: 3915246
zbMATH Keywords: Euler class
zbMATH Keywords: Gysin homomorphism
zbMATH Keywords: Chern class
zbMATH Keywords: characteristic classes for surface bundles
zbMATH Keywords: family of Jacobian manifolds
MaRDI profile type: Publication
full work available at URL: pjaa.60.373
OpenAlex ID: W4236496657
cites work: A survey of the Torelli group
cites work: Characteristic classes of surface bundles
cites work: Q3479229
cites work: Q3216763
cites work: Q4082047
DOI: 10.3792/PJAA.60.373
description: scientific article; zbMATH DE number 3915246