| Autor: |
Basu, Samik, Mukherjee, Goutam, Sarkar, Swagata |
| Rok vydání: |
2013 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
Let $\mathcal{N}_*$ be the unoriented cobordism algebra, let $G=(\Z_2)^n$ and let $Z_*(G)$ denote the equivariant cobordism algebra of $G$-manifolds with finite stationary point sets. Let $\epsilon_* :Z_*(G) \to \mathcal{N}_*$ be the homomorphism which forgets the $G$-action. We use Milnor manifolds (degree 1 hypersurfaces in $\R P^m\times \R P^n$) to construct non-trivial elements in $Z_*(G)$. We prove that these elements give rise to indecomposable elements in $Z_*(G)$ in degrees up to $2^n - 5$. Moreover, in most cases these elements can be arranged to be in $\mathit{Ker}(\epsilon_*)$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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