Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Farrell, F. Thomas"'
Autor:
Farrell, F. Thomas, Wu, Xiaolei
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 closed manifold whose leaves are exotic tori and whose total space has
Externí odkaz:
http://arxiv.org/abs/1809.09000
Autor:
Farrell, F. Thomas, Wu, Xiaolei
We prove the A-theoretic Isomorphism Conjecture with coefficients and finite wreath products for solvable groups.
Comment: Some small changes. To appear in J. Topol. Anal
Comment: Some small changes. To appear in J. Topol. Anal
Externí odkaz:
http://arxiv.org/abs/1611.00072
We prove vanishing results for the generalized Miller-Morita-Mumford classes of some smooth bundles whose fiber is a closed manifold that supports a nonpositively curved Riemannian metric. We also find, under some extra conditions, that the vertical
Externí odkaz:
http://arxiv.org/abs/1602.01373
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 curved metrics on V are smoothly close. Combining this result with some t
Externí odkaz:
http://arxiv.org/abs/1501.03475
Autor:
Farrell, F. Thomas, Wu, Xiaolei
Publikováno v:
Algebr. Geom. Topol. 15 (2015) 1667-1690
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 $\mathbb{Q}^n \rtimes \mathbb{Z}$, where $\mathbb{Z}$ acts on $\mathbb{Q}^n$
Externí odkaz:
http://arxiv.org/abs/1410.2103
Autor:
Farrell, F. Thomas, Gogolev, Andrey
This paper is devoted to rigidity of smooth bundles which are equipped with fiberwise geometric or dynamical structure. We show that the fiberwise associated sphere bundle to a bundle whose leaves are equipped with (continuously varying) metrics of n
Externí odkaz:
http://arxiv.org/abs/1403.4221
Autor:
Farrell, F. Thomas, Gogolev, Andrey
We construct expanding endomorphisms on smooth manifolds that are homeomorphic to tori yet have exotic underlying PL-structures.
Comment: 12 pages, 4 figures; Accepted for publication by the Journal of Topology; small changes in the second versi
Comment: 12 pages, 4 figures; Accepted for publication by the Journal of Topology; small changes in the second versi
Externí odkaz:
http://arxiv.org/abs/1307.3223
Autor:
Farrell, F. Thomas, Gogolev, Andrey
We consider the space $\X$ of Anosov diffeomorphisms homotopic to a fixed automorphism $L$ of an infranilmanifold $M$. We show that if $M$ is the 2-torus $\mathbb T^2$ then $\X$ is homotopy equivalent to $\mathbb T^2$. In contrast, if dimension of $M
Externí odkaz:
http://arxiv.org/abs/1201.3595
Autor:
Farrell, F. Thomas, Gogolev, Andrey
We construct Anosov diffeomorphisms on manifolds that are homeomorphic to infranilmanifolds yet have exotic smooth structures. These manifolds are obtained from standard infranilmanifolds by connected summing with certain exotic spheres. Our construc
Externí odkaz:
http://arxiv.org/abs/1006.4683