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In this paper we use recollements to investigate partially wrapped Fukayacategories of surfaces with marked points. In particular, we show that cuttingsurfaces gives rise to recollements of the corresponding partially wrappedFukaya categories. Our approach is based on the fact that the partially wrappedFukaya category of a surface with marked points is triangle equivalent to theperfect derived category of a homologically smooth and proper graded gentlealgebra with zero differential as shown by Haiden, Katzarkov and Kontsevich.Using this, we study particular generators of partially wrapped Fukayacategories, namely full exceptional sequences, silting objects andsimple-minded collections. In particular, we fully characterise the existenceof full exceptional sequences and we give an example of a partially wrappedFukaya category which does not admit a silting object, that is a generator withno positive self-extensions.

Recollements of partially wrapped Fukaya categories and surface cuts