Classification of singular fibres of stable maps from 4-manifolds to 3-manifolds and its applications

Yamamoto, Takahiro

Hokkaido University Preprint Series in Mathematics, 2003, 623, 1-20

Permalink : https://doi.org/10.14943/83777

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アクセス権	open access
DOI	https://doi.org/10.14943/83777
URI	https://hdl.handle.net/2115/69431
タイトル	Classification of singular fibres of stable maps from 4-manifolds to 3-manifolds and its applications
著者	著者名 Yamamoto, Takahiro
言語	英語
キーワード	Stable map
	singular fibre
	Euler characteristic
	two color decomposition
発行日	2003
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	623
ページ	1-20
抄録	In this paper we classify the singular fibres of a stable maps from a closed 4-manifolds to a 3-manifolds up to the right-left equivalence. Furthermore, we obtain several results on the co-existence of the singular fibres of such maps. As a consequence, we show that Euler characteristic of the source 4-manifold with the suitable condition, has the same parity as the total number of specified singular fibres. In orientable case, the crucial result is obtained by O.Saeki [14]. The main theorem of this paper is a generalization of his theorem.
資源タイプ	紀要論文
出版タイプ	Version of Record