Poincaré duality III (Ex)
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(Created page with "<wikitex>; Let $M$ be # $S^1$ # $S^1\times S^1$ # $\mathbb{R} P^2$ # $K$ the Klein bottle Consider all possible representations $\omega: \pi_1(M) \to \mathbb{Z}_2$. Comput...")
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(Created page with "<wikitex>; Let $M$ be # $S^1$ # $S^1\times S^1$ # $\mathbb{R} P^2$ # $K$ the Klein bottle Consider all possible representations $\omega: \pi_1(M) \to \mathbb{Z}_2$. Comput...")
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Revision as of 21:44, 19 March 2012
Let be
- the Klein bottle
Consider all possible representations . Compute
For , why is the correct involution for Poincaré Duality
and not