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- Material Type
- 文書・図像類
- Author/Editor
- 與倉, 昭治
- Author Heading
- Publication, Distribution, etc.
- Alternative Title
- Comprehensive studies of topological aspects of algebraic spaces and stratified spaces
- Text Language Code
- jpn
- Subject Heading
- Target Audience
- 一般
- Note (General)
- 2009-2011年度科学研究費助成事業(科学研究費補助金(基盤研究(C)))研究成果報告書 課題番号：21540088 研究代表者：與倉昭治 (鹿児島大学大学院理工学研究科(理学系)教授)(1) motivic Hirzebruch classを用いてMilnor numberの一般化であるmotivic Milnor classを構成した。(2) Chern classのゼータ関数などを特殊な場合として含む、motivic Hirzebruch classのゼータ関数を構成した。 (3) 代表者が以前構成したuniversal bivariant theoryのアイデアを用いて、fiberwise bordism groupを導入し、さらにdifferentiable spaceの理論を用いて、fiberwise bordism groupのbivariant theoryを構成できることを示した。(4) 通常は自然変換として捉えることができない加法的不変量を、圏論的に自然変換として捉えることが出来ることを示した。(1) Using motivic Hirzebruch class, we constructed Motive Milnor classe, which is a generalization of the Milnor number. (2) W constructed a zeta function of the motivic Hirzebruch class, a special case of which gives rise to the zeta function of the Chern class. (3) Using the idea in the universal bivariant theory introduced by the representative of this grant, we introduced the notion of fiberwise bordism group and we showed that we could construct a bivariant theory of fiberwise bordism group, using the notion of differentiable spaces. (4) We showed that any additive invariant, which cannot be usually captured as a natural transformation, could be captured as a natural transformation.