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.
Orientations for pseudoholomorphic quilts
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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.
fields
math.SG 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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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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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.