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

• Yamamoto Takahiro

  Department of Mathematics, Hokkaido University

抄録

In this paper we classify the singular fibres of stable maps of closed (possibly non-orientable) 4-manifolds into 3-manifolds up to the C^∞ equivalence. Furthermore, we obtain several results on the co-existence of the singular fibres of such maps. As a consequence, we show that under certain conditions, the Euler number of the source 4-manifold has the same parity as the total number of certain singular fibres. This generalises Saeki's result in the orientable case.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 58 (3), 721-742, 2006

  一般社団法人 日本数学会

キーワード

• stable map
• singular fibre
• Euler number
• two colour decomposition

詳細情報

• CRID: 1390001205116603648
• NII論文ID: 10018381064
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1156342035
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2254408
• NDL書誌ID: 7987106
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7987106
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可