Orientations for pseudoholomorphic quilts
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We construct orientations on moduli spaces of pseudoholomorphic quilts with seam conditions in Lagrangian correspondences equipped with relative spin structures and determine the effect of various gluing operations on the orientations. We also investigate the behavior of the orientations under composition of Lagrangian correspondences.
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Cited by 2 Pith papers
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Holomorphic disks and tropical Lagrangians
A sum-over-tropical-graphs calculus counts holomorphic disks in almost toric manifolds and realizes every integer eigenvalue of non-maximal modulus for quantum multiplication by the first Chern class via spheres.
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Augmentation varieties and disk potentials III
Establishes equality between augmentation varieties and disk potential zero sets for Legendrian covers of monotone tori in circle-fibered contact manifolds, with applications to non-isotopy and non-fillability.
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