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19982013
most citedHomotopical Intersection Theory, I

22 citations · 51 across the 12 of their papers we have counts for

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9 papers · 1 filter

math.AT2013★ 16 cited

Automorphisms of Manifolds and Algebraic K-Theory: Part III

Michael S. Weiss, E. Bruce Williams

The structure space S(M) of a closed topological m-manifold M classifies bundles whose fibers are closed m-manifolds equipped with a homotopy equivalence to M. We construct a highl…

math.AT2012

Homotopical Intersection Theory, III: multi-relative intersection problems

John R. Klein, Bruce Williams

This paper extends some results of Hatcher and Quinn beyond the metastable range. We give a bordism theoretic obstruction to deforming a map between manifolds simultaneously off of…

math.AT2010

Smoothing theory revisited

John R. Klein, Bruce Williams

We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.

math.AT2009★ 1 cited

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…

math.AT2008★ 4 cited

Homotopical Intersection Theory, II: equivariance

John R. Klein, Bruce Williams

This is the second in a series of papers. Here we develop here an intersection theory for manifolds equipped with an action of a finite group. As in our previous paper, our approac…

math.AT2007★ 1 cited

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.