70 citations · 93 across the 11 of their papers we have counts for
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math.AT2014
Homotopic Hopf-Galois extensions revisited
Alexander Berglund, Kathryn Hess
In this article we revisit the theory of homotopic Hopf-Galois extensions introduced in arXiv:0902.3393v2 [math.AT], in light of the homotopical Morita theory of comodules establis…
math.AT2014
Homotopical Morita theory for corings
Alexander Berglund, Kathryn Hess
A coring (A,C) consists of an algebra A and a coalgebra C in the monoidal category of A-bimodules. Corings and their comodules arise naturally in the study of Hopf-Galois extension…
math.AT2014
Rational homotopy theory of automorphisms of manifolds
Alexander Berglund, Ib Madsen
We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for…