Sub-leading asymptotics of ECH capacities

Abstract

In previous work, the first author and collaborators showed that the leading asymptotics of the embedded contact homology (ECH) spectrum recovers the contact volume. Our main theorem here is a new bound on the sub-leading asymptotics.

References in corpus (8)

• The Seiberg-Witten equations and the Weinstein conjecture
• Torsion contact forms in three dimensions have two or infinitely many Reeb orbits
• Ehrhart polynomials and symplectic embeddings of ellipsoids
• The ghost stairs stabilize to sharp symplectic embedding obstructions
• Asymptotics of the eta invariant
• A Gutzwiller type trace formula for the magnetic Dirac operator
• Koszul complexes, Birkhoff normal form and the magnetic Dirac operator
• An estimate on energy of min-max Seiberg-Witten Floer generators

Cited by in corpus (5)

• Ehrhart polynomials and symplectic embeddings of ellipsoids
• ECH capacities, Ehrhart theory, and toric varieties
• Hyperbolicity, irrationality exponents and the eta invariant
• Lattice Formulas For Rational SFT Capacities
• Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces