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math.AT2011★ 2 cited
Invariance properties of Miller-Morita-Mumford characteristic numbers of fibre bundles
Thomas Church, Martin Crossley, Jeffrey Giansiracusa
Characteristic classes of fibre bundles in the category of closed oriented manifolds give rise to characteristic numbers by integrating the classes over the base.…
math.AT2011★ 87 cited
Homological stability for configuration spaces of manifolds
Thomas Church
Let C_n(M) be the configuration space of n distinct ordered points in M. We prove that if M is any connected orientable manifold (closed or open), the homology groups H_i(C_n(M); Q…