Orientations for pseudoholomorphic quilts
Katrin Wehrheim, Chris Woodward
TL;DR
This paper develops a method to assign orientations to moduli spaces of pseudoholomorphic quilts with Lagrangian seam conditions, analyzing how these orientations behave under gluing and composition of correspondences.
Contribution
It introduces a systematic way to orient moduli spaces of pseudoholomorphic quilts with relative spin structures and studies their behavior under key geometric operations.
Findings
Orientations are constructed for moduli spaces with seam conditions in Lagrangian correspondences.
The effect of gluing operations on orientations is explicitly determined.
Behavior of orientations under composition of Lagrangian correspondences is analyzed.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematics and Applications · Homotopy and Cohomology in Algebraic Topology