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math.AT2026
Mumford--Morita--Miller classes in generalised cohomology theories
Oscar Randal-Williams
The Mumford--Morita--Miller classes on the moduli space of Riemann surfaces may be defined not only in ordinary cohomology but in any complex-oriented cohomology theory. We begin t…
math.AT2026
TQFTs do not detect the Milnor sphere
Ben Gripaios, Oscar Randal-Williams
We show that, under very general hypotheses, topological quantum field theories (TQFTs) cannot detect homotopy spheres bounding parallelisable manifolds, such as Milnor's exotic 7-…