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arXiv · 1505.08146

Fukaya algebras via stabilizing divisors

François Charest·Chris Woodward
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Abstract

We use the technique of stabilizing divisors introduced by Cieliebak-Mohnke to construct finite dimensional, strictly unital Fukaya algebras of compact, oriented, relatively spin Lagrangians in compact symplectic manifolds with rational symplectic classes. The homotopy type of the algebra and the moduli space of solutions to the weak Maurer-Cartan equation are shown to be independent of the choice of perturbation data. The Floer cohomology is the cohomology of a complex of vector bundles over the space of solutions to the weak Maurer-Cartan equation and is shown to be independent of the choice of perturbation data up to gauge equivalence.

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François Charest, Chris Woodward. 2015-05-29. Fukaya algebras via stabilizing divisors. https://arxiv.org/abs/1505.08146

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