346 citations · 1.2k across the 23 of their papers we have counts for
5 papers · 1 filter
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.…
Orbits of curves under the Johnson kernel
Thomas Church
This paper has two main goals. First, we give a complete, explicit, and computable solution to the problem of when two simple closed curves on a surface are equivalent under the Jo…
The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension
Thomas Church, Benson Farb, Andrew Putman
Let Mod_g be the mapping class group of a genus g >= 2 surface. The group Mod_g has virtual cohomological dimension 4g-5. In this note we use a theorem of Broaddus and the combinat…
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…
On the geometric nature of characteristic classes of surface bundles
Thomas Church, Benson Farb, Matthew Thibault
Each Morita--Mumford--Miller (MMM) class e_n assigns to each genus g >= 2 surface bundle S_g -> E^{2n+2} -> M^{2n} an integer e_n^#(E -> M) := <e_n,[M]> in Z. We prove that when n…