This note reduces an existence question about bi-normal orbits in the spatial three-body problem to wrapped Floer homology, yielding a conditional proof that relies on an unverified twist assumption.
The chord conjecture for conormal bundles
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof involves an isomorphism between wrapped Floer cohomology and the homology of a path space with coefficients in a local system and a twisted version of the Hurewicz theorem.
fields
math.SG 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Bi-normal trajectories in the Circular Restricted Three-Body Problem
This note reduces an existence question about bi-normal orbits in the spatial three-body problem to wrapped Floer homology, yielding a conditional proof that relies on an unverified twist assumption.