Mauricio Bustamante

activity

20152026

most citedRigidity and characteristic classes of smooth bundles with nonpositively curved fibers

4 citations · 14 across the 11 of their papers we have counts for

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8 papers · 1 filter

math.GT2026

Aspherical manifolds with nonvanishing tautological classes

Mauricio Bustamante

For every even integer $m \geq 2$ , we construct a closed, orientable, smooth, aspherical $(2 m + 1)$ -manifold whose fundamental group has nontrivial center and for which infinitely man…

math.GT2026

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…

math.GT2023

Mapping class groups of exotic tori and actions by $SL_{d} (Z)$

Mauricio Bustamante, Manuel Krannich, Alexander Kupers +1

We determine for which exotic tori $T$ of dimension $d \neq = 4$ the homomorphism from the group of isotopy classes of orientation-preserving diffeomorphisms of $T$ …

math.GT2021

Symmetries of exotic aspherical space forms

Mauricio Bustamante, Bena Tshishiku

We study finite group actions on smooth manifolds of the form $M #Σ$ , where $Σ$ is an exotic $n$ -sphere and $M$ is a closed aspherical space form. We give a classification result f…

math.GT2019

Symmetries of exotic negatively curved manifolds

Mauricio Bustamante, Bena Tshishiku

Let $N$ be a smooth manifold that is homeomorphic but not diffeomorphic to a closed hyperbolic manifold $M$ . In this paper, we study the extent to which $N$ admits as much symmetry…

math.GT2017

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 $T^{< 0} (M)$ of negatively curved metrics on a hyperbolic manifold $M$ has nontrivial $i$ -th rational homotopy groups for some $i> \dim…

math.GT2017★ 1 cited

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…

math.GT2017

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 $K$ -theory of spaces coincide. This gives a way to compute the positive and…

Aspherical manifolds with nonvanishing tautological classes

Stably tangential strict hyperbolization

Mapping class groups of exotic tori and actions by SLd​(Z)

Symmetries of exotic aspherical space forms

Symmetries of exotic negatively curved manifolds

On negatively curved bundles with hyperbolic fibers outside the Igusa stable range

Negatively curved bundles in the Igusa stable range

Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics

Mapping class groups of exotic tori and actions by $SL_{d} (Z)$