Nestor Colin

activity

20242026

collaborators

4 papers

math.GT2026

Birman-Hilden theory for big mapping class groups

Nestor Colin, Ruben Hidalgo, Rita JimÃ©nez Rolland +2

Let $S$ and $X$ be two connected topological surfaces without boundary, and assume that $S$ is either of infinite type or has negative Euler characteristic. In this paper, we prove…

math.GT2025

A spine for the decorated TeichmÃ¼ller space of a punctured non-orientable surface

Nestor Colin, Rita JimÃ©nez Rolland, Porfirio L. LeÃ³n Ãlvarez +1

Building on work of Harer \cite{Ha86}, we construct a spine for the decorated TeichmÃ¼ller space of a non-orientable surface with at least one puncture and negative Euler character…

math.GT2024

The proper geometric dimension of the mapping class group of an orientable surface with punctures

We show that the {\it full} mapping class group of any orientable closed surface with punctures admits a cocompact classifying space for proper actions of dimension equal to its vi…

math.GT2024

Farrell cohomology of the pure mapping class group of non-orientable surfaces

Nestor Colin

For an odd prime $p$ , we determine the $p$ -primary component of the Farrell cohomology of the pure mapping class groups of a non orientable surface of genus $p$ with $k ⩾ 1$ …