# 東京理科大学理工学部 数学科

seminar:2003:004

### 第04回

• 講演者: 中西 靖忠 氏 (岐阜経済大学経済学部)
• 題目: Nambu-Poisson Cohomology
• 日時: 平成 15年 7月 8日(火) 15:00 〜 16:00
• 場所: 数学科セミナー室 4号館 3階

Let $(M, \eta)$ be an $m$-dimensional Nambu-Poisson manifold. We are interested in a Nambu-Poisson tensor $\eta$ whose order is smaller than $m$ and which has singularity at the origin. Then we compute Nambu-Poisson cohomology with respect to such a tensor $\eta$. More precisely, we compute Nambu-Poisson cohomology in case of $(\mathbb{R}^4,\eta)$ , where $\eta$ is a Nambu-Poisson tensor of order 3 with singularity at the origin. In particular, if $\eta$ is exact, we know that Nambu-Poisson cohomology coincides with relative cohomology, which has studied by B. Malgrange et al.

seminar/2003/004.txt · 最終更新: 2017/11/27 10:50 (外部編集)