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Constructing the relative Fukaya category
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We give a definition of Seidel's `relative Fukaya category', for a smooth complex projective variety, under a semipositivity assumption. We use the Cieliebak--Mohnke approach to transversality via stabilizing divisors. Two features of our construction are noteworthy: that we work relative to a normal crossings divisor that supports an effective ample divisor but need not have ample components; and that our relative Fukaya category is linear over a certain ring of multivariate power series with integer coefficients.
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Cited by 1 Pith paper
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A Deformation of the Compact Fukaya Category via the Relative Fukaya Category
The compact subcategory W(M,D) of the CO(β)-deformed wrapped Fukaya category is filtered quasi-equivalent to Seidel's relative Fukaya category F(M,D).
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