Orientations for pseudoholomorphic quilts

2015/03/26 by Katrin Wehrheim, Wehrheim, Katrin, Chris Woodward +1 · 6 citations
Mathematics · #53D40 #57R56 #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1503.07803

openalex publication_date 2015/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A-infinity functors for Lagrangian correspondences

Cited by

• The Lagrangian Floer-quantum-PSS package and canonical orientations in\n Floer theory
• On the Lagrangian Hofer geometry of Clifford tori
• Orientations of Morse flow trees in Legendrian contact homology
• Functors of wrapped Fukaya categories from Lagrangian correspondences
• Hamiltonian no-torsion
• Peterson conjecture via Lagrangian correspondences and wonderful compactifications

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