Let $W$ be a smooth/topology manifold(possibly with boundary), such that $\pi_1(W)$ has only trivial representation on $SU(2)$.
Q Can we say that $H^1(W;\mathbb R)=0$
Let $W$ be a smooth/topology manifold(possibly with boundary), such that $\pi_1(W)$ has only trivial representation on $SU(2)$.
Q Can we say that $H^1(W;\mathbb R)=0$
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