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Lagrangian Quantum Homology for Lagrangian cobordism

2015/03/18 by Berit Singer, Singer, Berit
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1503.05466

openalex publication_date 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the definition of Lagrangian quantum homology to monotone Lagrangian cobordism and establish its general algebraic properties. In particular we develop a relative version of Lagrangian quantum homology associated to a cobordism relative to a part of its boundary and study relations of this invariant to the ambient quantum homology.

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