activity
20172026
most citedClassification of tangent and transverse knots in bracket-generating distributions

1 citations · 1 across the 7 of their papers we have counts for

collaborators

10 papers

math.GT2026

A constructive solution to the equivalence problem for knot projectivizations

Sergio de María, Javier Martínez-Aguinaga

The problem of whether different projectivizations of the same affine knot are equivalent in can be found in [11] and has also been…

math.GT2026

Fat distributions with Reeb directions need not be complex contact

Javier Martínez-Aguinaga

It is well known that every complex contact -manifold, when regarded as a real manifold, gives rise to a fat -distribution that admits two Reeb directions. Nonetheless, i…

math.SG2024

On the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds

Luis Hernández-Corbato, Javier Martínez-Aguinaga

We study the global topology of the space of loops of contactomorphisms of a non-orderable closed contact manifold . We filter by a quantit…

math.GT2024

On the Legendrian realisation of loops of knots

Javier Martínez-Aguinaga

We study the natural inclusion of the space of Legendrian embeddings in into the space of smooth embeddings at the level of fundamental grou…

math.SG2024

Parametric satellites and connected-sums in the space of Legendrian embeddings

Eduardo Fernández, Javier Martínez-Aguinaga, Francisco Presas

This article introduces two new constructions at the higher homotopy level in the space of Legendrian embeddings in . We first introduce the…

math.DG2022★ 1 cited

Classification of tangent and transverse knots in bracket-generating distributions

Javier Martínez-Aguinaga, Álvaro del Pino

Consider a manifold, of dimension greater than 3, equipped with a bracket-generating distribution. In this article we prove complete h-principles for embedded regular horizontal cu…