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Classification of singular fibres of stable maps from 4-manifolds to 3-manifolds and its applications
Title: | Classification of singular fibres of stable maps from 4-manifolds to 3-manifolds and its applications |
Authors: | Yamamoto, Takahiro Browse this author |
Keywords: | Stable map | singular fibre | Euler characteristic | two color decomposition |
Issue Date: | 2003 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 623 |
Start Page: | 1 |
End Page: | 20 |
Abstract: | 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69431 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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