53 citations · 287 across the 51 of their papers we have counts for
6 papers · 1 filter
Comparison of the geometric bar and W-constructions
Clemans Berger, Johannes Huebschmann
We show that, for a simplicial group K,the realization of the W-construction of K is naturally homeomorphic to the universal bundle of its geometric realization. The argument invol…
Line bundles on moduli and related spaces
Johannes Huebschmann
Let G be a Lie goup, let M and N be smooth connected G-manifolds, let f be a smooth G-map from M to N, and let P denote the fiber of f. Given a closed and equivariantly closed rela…
On the construction of A-infinity structures
Johannes Huebschmann
We relate a construction of Kadeishvili's establishing an A-infinity-structure on the homology of a differential graded algebra or more generally of an A-infinity algebra with cert…
Origins and breadth of the theory of higher homotopies
Johannes Huebschmann
Higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branches of theoretical physics. We recall some of the connections between the past and…
Homological perturbations, equivariant cohomology, and Koszul duality
Johannes Huebschmann
Our main objective is to demonstrate how homological perturbation theory (HPT) results over the last 40 years immediately or with little extra work give some of the Koszul duality…
Berikashvili's functor D and the deformation equation
Johannes Huebschmann
Berikashvili's functor D defined in terms of twisting cochains is related to deformation theory, gauge theory, Chen's formal power series connections, and the master equation in ph…