Generic smooth maps with sphere fibers : Dedicated to Professor Yukio Matsumoto on the occasion of his 60th birthday

スポンサーリンク

概要

• 論文の詳細を見る

• In this paper, we study various topological properties of generic smooth maps between manifolds whose regular fibers are disjoint unions of homotopy spheres. In particular, we show that if a closed 4-manifold admits such a generic map into a surface, then it bounds a 5-manifold with nice properties. As a corollary, we show that each regular fiber of such a generic map of the 4-sphere into the plane is a homotopy ribbon 2-link and that any spun 2-knot of a classical knot can be realized as a component of a regular fiber of such a map.

• 社団法人 日本数学会の論文
• 2005-07-01

著者

• Saeki Osamu

  Faculty Of Mathematics Kyushu University

• 鈴岡 啓一

  東京大学数理科学研究科

関連論文

• ELIMINATION OF DEFINITE FOLD
• Generic smooth maps with sphere fibers : Dedicated to Professor Yukio Matsumoto on the occasion of his 60th birthday
• Morse functions with sphere fibers
• A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH
• 余次元2ではめ込まれた多様体の多重点と同境類について (局所的及び大域的特異点論の研究)
• Cobordism group of Morse functions on surfaces : Dedicated to Professor Tatsuo Suwa on his sixtieth birthday
• Height functions on surfaces with three critical values

スポンサーリンク