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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3 papers · 1 filter

math.AT2021★ 1 cited

Finiteness properties of automorphism spaces of manifolds with finite fundamental group

Mauricio Bustamante, Manuel Krannich, Alexander Kupers

Given a closed smooth manifold $M$ of even dimension $2 n \geq 6$ with finite fundamental group, we show that the classifying space $BDiff (M)$ of the diffeomorphism group of $M$ …

math.AT2020★ 2 cited

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 $S^{1} \times D^{2 n - 1}$ , for $2 n \geq 6$ , in a range of degrees up to $n - 2$ . Our analysis r…

math.AT2016★ 4 cited

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…