On the cohomology of Seifert and graph manifolds (Q1868883)

The authors describe a cell-decomposition of a general Seifert manifold \(M^3= SF(g,b,r:(\alpha_1,\beta_1),\dots,(\alpha_r,\beta_r))\). They construct chain and cochain complexes from the resulting CW-complex, and calculate the cohomology ring of \(M^3\). A corresponding calculation is made for a graph manifold which is constructed, roughly speaking, from the union of a finite number of Seifert manifolds which intersect one another along their boundary tori.