Gianluca Faraco

activity

20172026

most citedTranslation surfaces and periods of meromorphic differentials

6 citations · 16 across the 17 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.GT2023

Simple loop conjecture for discrete representations in PSL $(2, R)$

Gianluca Faraco, Subhojoy Gupta

We show that the Simple Loop Conjecture holds for any representation $ρ : π_{1} (S) ⟶ PSL (2, R)$ that is discrete but not faithful. That is, we show th…

math.GT2023

Isoperiodic foliation of the stratum $Ω M_{1} (1, 1, - 2)$

Gianluca Faraco, Guillaume Tahar, Yongquan Zhang

This paper describes the geometry and topology of leaves of the isoperiodic foliation of the stratum $Ω M_{1} (1, 1, - 2)$ . We prove that each leaf is a surface of infinite genu…

math.GT2023

Counterexamples to the simple loop conjecture in higher-dimension

Gianluca Faraco

For every $g \geq 2$ and $n \geq 4$ , we provide an $n -$ manifold $M$ and a continuous $2 -$ sided map $f : S ⟶ M$ , where $S$ is a closed genus $g$ surface, such that no si…

math.HO2023★ 1 cited

Tessellations of surfaces

Gianluca Faraco

A tessellation or tiling is a collection of sets, called tiles, that cover a plane without gaps and overlaps. The present note is an invitation to get to know the beauty and majest…

Simple loop conjecture for discrete representations in PSL(2,R)

Isoperiodic foliation of the stratum ΩM1​(1,1,−2)

Counterexamples to the simple loop conjecture in higher-dimension

Tessellations of surfaces

Simple loop conjecture for discrete representations in PSL $(2, R)$

Isoperiodic foliation of the stratum $Ω M_{1} (1, 1, - 2)$