70 citations · 93 across the 11 of their papers we have counts for
17 papers
On exponential groups and Maurer-Cartan spaces
Alexander Berglund
The purpose of this note is to give a concise account of some fundamental properties of the exponential group and the Maurer-Cartan space associated to a complete dg Lie algebra. I…
Algebraic models for classifying spaces of fibrations
Alexander Berglund, Tomáš Zeman
We prove new structural results for the rational homotopy type of the classifying space of fibrations with fiber a simply connected finite CW-complex .…
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…