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pro vyhledávání: '"Costa, Antonio F."'
Autor:
Costa, Antonio F.
Let $S$ be a (compact)\ Riemann surface of genus greater than one. Two automorphism of $S$ are topologically equivalent if they are conjugated by a homeomorphism. The topological classification of automorphisms is a classical problem and its study wa
Externí odkaz:
http://arxiv.org/abs/2406.02805
A knot $K$ in $S^3$ is $q$-periodic if it admits a symmetry that is conjugate to a rotation of order $q$ of $S^3$. If $K$ admits a symmetry which is a homeomorphism without fixed point of period $q$ of $S^3$, then $K$ is called freely $q$-periodic. I
Externí odkaz:
http://arxiv.org/abs/2207.04257
Autor:
Costa, Antonio F.
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 q even. The classification of periodic orientation reversing autohome
Externí odkaz:
http://arxiv.org/abs/2006.03904
Publikováno v:
In Topology and its Applications 1 November 2023 339 Part A
This paper is devoted to prove the existence of $q$-periodic alternating projections of prime alternating $q$-periodic knots. The main tool is the Menasco-Thistlethwaite's Flyping theorem. Let $K$ be an oriented prime alternating knot that is $q$-per
Externí odkaz:
http://arxiv.org/abs/1905.13718
Autor:
Costa, Antonio F., Hidalgo, Ruben A.
The moduli space ${\mathcal{M}}_{g}$, of genus $g\geq2$ closed Riemann surfaces, is a complex orbifold of dimension $3(g-1)$ which carries a natural real structure i.e. it admits an anti-holomorphic involution $\sigma$. The involution $\sigma$ maps e
Externí odkaz:
http://arxiv.org/abs/1710.04627
Autor:
Costa, Antonio F., Porto, Ana M.
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 topologically singular. We give a different proof of the results of Rauch
Externí odkaz:
http://arxiv.org/abs/1706.09862
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 call the park of a function. We show that the park determines the topolo
Externí odkaz:
http://arxiv.org/abs/1609.05755
Publikováno v:
In Topology and its Applications 15 August 2021 300
Autor:
Costa, Antonio F.
Publikováno v:
In Topology and its Applications 15 March 2021 291