TL;DR
This paper establishes a compactness theorem for Morse flow trees associated with Legendrian submanifolds in 1-jet spaces, extending Floer-Gromov compactness results to this setting.
Contribution
It proves a Floer-Gromov type compactness result for stable Morse flow trees of Legendrians with simple front singularities, under certain transversality conditions.
Findings
Proves a Floer-Gromov compactness theorem for Morse flow trees.
Extends compactness results to Legendrians in 1-jet spaces with singularities.
Provides foundational results for Legendrian contact homology.
Abstract
We prove a Floer-Gromov compactness type result for (stable) Morse flow trees of Legendrians in 1-jet spaces with simple front singularities satisfying Ekholm's preliminary transversality condition.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Mathematical Dynamics and Fractals · Geometric and Algebraic Topology