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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 -categories on spaces. We prove that categorical local systems are captured by (higher) monodromy data: in particular, if is -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 …