Nicolò Sibilla

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20112026

most citedTopological Fukaya category and mirror symmetry for punctured surfaces

25 citations · 95 across the 23 of their papers we have counts for

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math.AT2025

Higher local systems and the categorified monodromy equivalence

James Pascaleff, Emanuele Pavia, Nicolò Sibilla

We study local systems of $(\infty, n)$ -categories on spaces. We prove that categorical local systems are captured by (higher) monodromy data: in particular, if $X$ is $(n + 1)$ -conne…

math.AT2016★ 25 cited

Topological Fukaya category and mirror symmetry for punctured surfaces

James Pascaleff, Nicolò Sibilla

In this paper we establish a version of homological mirror symmetry for punctured Riemann surfaces. Following a proposal of Kontsevich we model A-branes on a punctured surface $Σ$ …

math.AT2011★ 10 cited

Ribbon Graphs and Mirror Symmetry I

Nicoló Sibilla, David Treumann, Eric Zaslow

Given a ribbon graph $Γ$ with some extra structure, we define, using constructible sheaves, a dg category $C P M (Γ)$ meant to model the Fukaya category of a Riemann surface in the ce…