6 citations · 34 across the 20 of their papers we have counts for
22 papers
Riemannian foliation with exotic tori as leaves
F. Thomas Farrell, Xiaolei Wu
We construct smooth fiber bundles such that the fibers are exotic tori and the total space has finite abelian fundamental group. This gives examples of a Riemannian foliation on a…
On negatively curved bundles with hyperbolic fibers outside the Igusa stable range
Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang
We prove that the Teichmüller space of negatively curved metrics on a hyperbolic manifold has nontrivial -th rational homotopy groups for some $i> \dim…
Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics
Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang
We prove that certain involutions defined by Vogell and Burghelea-Fiedorowicz on the rational algebraic -theory of spaces coincide. This gives a way to compute the positive and…
The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory
F. Thomas Farrell, Xiaolei Wu
We prove the A-theoretic Isomorphism Conjecture with coefficients and finite wreath products for solvable groups.
Space of nonnegatively curved metrics and pseudoisotopies
Igor Belegradek, F. Thomas Farrell, Vitali Kapovitch
Let V be an open manifold with complete nonnegatively curved metric such that the normal sphere bundle to a soul has no section. We prove that the souls of nearby nonnegatively cur…
The Farrell-Jones Conjecture for some nearly crystallographic groups
F. Thomas Farrell, Xiaolei Wu
In this paper, we prove the K-theoretical and L-theoretical Farrell-Jones Conjecture with coefficients in an additive category for nearly crystallographic groups of the form $\math…