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math.SG2026
Filtered Symplectic Homology and Closed Reeb Orbits
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We further explore connections between the symplectic homology persistence module and the properties of closed Reeb orbits for star-shaped domains in higher dimensions. Our first r…
math.SG2026
Topics in Symplectic Dynamics: Barcode Entropy
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel +1
Barcode entropy is an invariant of a Hamiltonian system -- a Hamiltonian diffeomorphism or a Reeb flow -- measuring its Morse or Floer theoretic complexity at a small scale. More s…