6 citations · 9 across the 5 of their papers we have counts for
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Characteristic classes for families of bundles
Alexander Berglund
The generalized Miller-Morita-Mumford classes of a manifold bundle with fiber depend only on the underlying -fibration, meaning the family of vector bundles formed by the…
A dg Lie model for relative homotopy automorphisms
Alexander Berglund, Bashar Saleh
We construct a dg Lie model for the universal cover of the classifying space of the grouplike monoid of homotopy automorphisms of a space that fix a given subspace.
Koszul A-infinity algebras and free loop space homology
Alexander Berglund, Kaj Börjeson
We introduce a notion of Koszul A-infinity algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-infinity algebra models for Hochschild co…
Hirzebruch L-polynomials and multiple zeta values
Alexander Berglund, Jonas Bergström
We express the coefficients of the Hirzebruch L-polynomials in terms of certain alternating multiple zeta values. In particular, we show that every monomial in the Pontryagin class…
Rational models for automorphisms of fiber bundles
Alexander Berglund
Given a fiber bundle, we construct a differential graded Lie algebra model for the classifying space of the monoid of homotopy equivalences of the base covered by a fiberwise isomo…
Free Loop Space Homology of Highly Connected Manifolds
Alexander Berglund, Kaj Börjeson
We calculate the homology of the free loop space of (n-1)-connected closed manifolds of dimension at most 3n-2 (n > 1), with the Chas-Sullivan loop product and loop bracket. Over a…