ダウンロード数: 44
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
2140-05.pdf | 12.85 MB | Adobe PDF | 見る/開く |
タイトル: | CUTTING AND PASTING OF MORSE FUNCTIONS (Research on topology and differential geometry using singularity theory of differentiable maps) |
著者: | WRAZIDLO, DOMINIK J. |
キーワード: | 57R45 57R90 57R60 57R65 58K15 57R56 Morse function cobordism of smooth maps $SKK$-group |
発行日: | Dec-2019 |
出版者: | 京都大学数理解析研究所 |
誌名: | 数理解析研究所講究録 |
巻: | 2140 |
開始ページ: | 36 |
終了ページ: | 51 |
抄録: | Cobordism groups of various types of Morse functions have been studied separately by several authors including Ikegami, Kalmar, Saeki, Yamamoto, and the author. In this article, we propose a conceptually new approach for studying cobordism groups of several types of Morse functions within a single unifying framework. Our method is crucially based on certain cutting and pasting relations for manifolds that have been used before to define SKK-groups of manifolds. We provide an explicit isomorphism between the cobordism group of Morse functions and SKK-groups. Moreover, we sketch an application of our framework to cobordism theory for Morse functions with boundary, and raise some problems for future study concerning Morse functions with index constraints and circle-valued Morse functions. |
URI: | http://hdl.handle.net/2433/254921 |
出現コレクション: | 2140 可微分写像の特異点論を用いたトポロジー・微分幾何学の研究 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。