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Jens Reinhold: On manifold bundles over classifying spaces

Time: Tue 2019-01-08 10.15 - 11.15

Location: Room 306, building 6, Kräftriket, Stockholm University

Participating: Jens Reinhold (Stanford University)

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Abstract:
Smooth group actions of a Lie group G on a manifold give rise to smooth bundles over the classifying space BG. Employing tautological classes, I will show the existence of smooth bundles not arising in this way. I will then report on ongoing work in progress on moduli spaces of manifolds fibered over BG, and models for parametrized cobordism categories.