A filtered A-infinity category, the Legendrian CI Fukaya category, is defined using moduli spaces of contact instantons with Reeb chord asymptotics.
Oh, Hiroshi Ohta, and Kaoru Ono, Quantum cohomology and split generation in lagrangian F loer theory , in preparation
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Rational contact instantons and Legendrian Fukaya category
A filtered A-infinity category, the Legendrian CI Fukaya category, is defined using moduli spaces of contact instantons with Reeb chord asymptotics.