Math 6510 • Differentiable Manifolds

Compute the fundamental group of the space obtained from the disjoint union
\(A\sqcup B\) of two 2-tori by identifying them along 3 points, i.e.
\(a_i\sim b_i\) for \(i=1,2,3\) where \(\{a_1,a_2,a_3\}\subset A\) and
\(\{b_1,b_2,b_3\}\subset B\).

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