activity
20002022
most citedA geometric characterization of orientation reversing involutions

3 citations · 5 across the 12 of their papers we have counts for

collaborators

16 papers

math.GT2022

Periodicity and Free Periodicity of Alternating Knots

Antonio F. Costa, Cam Van Quach Hongler

A knot in is -periodic if it admits a symmetry that is conjugate to a rotation of order of . If admits a symmetry which is a homeomorphism without fixed p…

math.GT2020

Note on the classification of the orientation reversing homeomorphisms of finite order of surfaces

Antonio F. Costa

The aim of this note is to stablish the topological classification of finite period orientation reversing autohomeomorphims of a closed oriented surface when the period is 2q, with…

math.GT2019

Periodic projections of alternating knots

Antonio F. Costa, Cam Van Quach Hongler

This paper is devoted to prove the existence of -periodic alternating projections of prime alternating -periodic knots. The main tool is the Menasco-Thistlethwaite's Flyping…

math.CV2017

On the connectedness of the set of Riemann surfaces with real moduli

Antonio F. Costa, Ruben A. Hidalgo

The moduli space , of genus closed Riemann surfaces, is a complex orbifold of dimension which carries a natural real structure i.e. it admits a…

math.AG2017

Topologically singular points in the moduli space of Riemann surfaces

Antonio F. Costa, Ana M. Porto

In 1962 E. H. Rauch established the existence of points in the moduli space of Riemann surfaces not having a neighbourhood homeomorphic to a ball. These points are called here topo…

math.CV2016★ 1 cited

Topological classification of generic real meromorphic functions

Antonio F. Costa, Sergey M. Natanzon, Boris Shapiro

In this article, to each generic real meromorphic function (i.e., having only simple branch points in the appropriate sense) we associate a certain combinatorial gadget which we ca…