3 citations · 7 across the 7 of their papers we have counts for
6 papers · 1 filter
Recognizing mapping spaces
Bernard Badzioch, David Blanc, Wojciech Dorabiala
Given a fixed object in a suitable pointed simplicial model category $\C$, we study the problem of recovering the target from the pointed mapping space \w{\mapa(A,Y)} (up t…
Higher torsion and secondary transfer of unipotent bundles
Bernard Badzioch, Wojciech Dorabiala
Given a unipotent bundle of smooth manifolds we construct its secondary transfer map and show that this map determines the higher smooth torsion of the bundle. This approach to hig…
Equivalence of higher torsion invariants
Bernard Badzioch, Wojciech Dorabiala, John R. Klein +1
We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we ob…
A note on localizations of mapping spaces
Bernard Badzioch, Wojciech Dorabiala
We show that if A is a simply connected, finite, pointed CW-complex then the mapping spaces Map(A, -) are preserved by the localization functors only if A has the rational homotopy…
Smooth parametrized torsion -- a manifold approach
Bernard Badzioch, Wojciech Dorabiala, Bruce Williams
We give a construction of a torsion invariant of bundles of smooth manifolds which is based on the work of Dwyer, Weiss and Williams on smooth structures on fibrations.
Additivity for parametrized topological Euler characteristic and Reidemeister torsion
Bernard Badzioch, Wojciech Dorabiala
Dwyer, Weiss, and Williams have recently defined the notions of parametrized topological Euler characteristic and parametrized topological Reidemeister torsion which are invariants…