Marcelo R. R. Alves

activity

20142026

most citedCylindrical contact homology and topological entropy

25 citations · 26 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.SG2026

Robustness of topological entropy under small area deformations

Marcelo R. R. Alves, Matthias Meiwes, Beomjun Sohn

In this paper, we establish a new type of stability phenomenon for the topological entropy of Hamiltonian diffeomorphisms of closed surfaces. For a closed surface endowed with an a…

math.SG2017

Dynamically exotic contact spheres in dimensions $\geq 7$

Marcelo R. R. Alves, Matthias Meiwes

We exhibit the first examples of contact structures on $S^{2 n - 1}$ with $n \geq 4$ and on $S^{3} \times S^{2}$ , all equipped with their standard smooth structures, for which every Reeb fl…

math.SG2017

Topological entropy for Reeb vector fields in dimension three via open book decompositions

Marcelo Alves, Vincent Colin, Ko Honda

Given an open book decomposition of a contact three man-ifold (M, $ξ$ ) with pseudo-Anosov monodromy and fractional Dehn twist coefficient c = k n, we construct a Legendrian knot $Λ…

math.SG2014

Legendrian contact homology and topological entropy