A note on partial quasi-morphisms and products in Lagrangian Floer homology in cotangent bundles

2021/04/11 by Jelena Katić, Katić, Jelena, Darko Milinković +3
Mathematics · Medicine · #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2104.05098

openalex publication_date 2021/04/11 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We define partial quasi-morphisms on the group of Hamiltonian diffeomorphisms of the cotangent bundle using the spectral invariants in Lagrangian Floer homology with conormal boundary conditions, where the product compatible with the PSS isomorphism and the homological intersection product is lacking.

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