4 citations · 14 across the 11 of their papers we have counts for
13 papers
Aspherical manifolds with nonvanishing tautological classes
Mauricio Bustamante
For every even integer , we construct a closed, orientable, smooth, aspherical -manifold whose fundamental group has nontrivial center and for which infinitely man…
Stably tangential strict hyperbolization
Mauricio Bustamante, Eduardo Reyes, Stefano Riolo
We show that the Charney--Davis strict hyperbolization procedure can preserve stable tangent bundles, answering a question of Charney and Davis. The key input is the construction o…
Mapping class groups of exotic tori and actions by
Mauricio Bustamante, Manuel Krannich, Alexander Kupers +1
We determine for which exotic tori of dimension the homomorphism from the group of isotopy classes of orientation-preserving diffeomorphisms of …
Symmetries of exotic aspherical space forms
Mauricio Bustamante, Bena Tshishiku
We study finite group actions on smooth manifolds of the form , where is an exotic -sphere and is a closed aspherical space form. We give a classification result f…
Finiteness properties of automorphism spaces of manifolds with finite fundamental group
Mauricio Bustamante, Manuel Krannich, Alexander Kupers
Given a closed smooth manifold of even dimension with finite fundamental group, we show that the classifying space of the diffeomorphism group of …
On automorphisms of high-dimensional solid tori
Mauricio Bustamante, Oscar Randal-Williams
We study the infinite generation in the homotopy groups of the group of diffeomorphisms of , for , in a range of degrees up to . Our analysis r…
Symmetries of exotic negatively curved manifolds
Mauricio Bustamante, Bena Tshishiku
Let be a smooth manifold that is homeomorphic but not diffeomorphic to a closed hyperbolic manifold . In this paper, we study the extent to which admits as much symmetry…
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…
Negatively curved bundles in the Igusa stable range
Mauricio Bustamante, Francis Thomas Farrell, Yi Jiang
We use classical results in smoothing theory to extract information about the rational homotopy groups of the space of negatively curved metrics on a high dimensional manifold. It…
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…
Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers
Mauricio Bustamante, F. Thomas Farrell, Yi Jiang
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…
On the topology of the space of pinched negatively curved metrics with finite volume and identical ends
Mauricio Bustamante
We prove that the space of complete, finite volume, pinched negatively curved Riemannian metrics on a smooth high-dimensional manifold is either empty or it is highly non-connected…
On the algebraic -theory of the Hilbert modular group
Mauricio Bustamante, Luis Jorge Sánchez Saldaña
We give formulas for the Whitehead groups and the rational -theory groups of the (integer group ring of the) Hilbert modular group in terms of its maximal finite subgroups.