Sub-leading asymptotics of ECH capacities

Sub-leading asymptotics of ECH capacities

In previous work (Cristofaro-Gardiner et al. in Invent Math 199:187–214, 2015), the first author and collaborators showed that the leading asymptotics of the embedded contact homology spectrum recovers the contact volume. Our main theorem here is a new bound on the sub-leading asymptotics.

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Veröffentlicht in:Selecta mathematica (Basel, Switzerland) Switzerland), 2020-11, Vol.26 (5), Article 65
Hauptverfasser: Cristofaro-Gardiner, Dan, Savale, Nikhil
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Homology
Mathematics
Mathematics and Statistics
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Zusammenfassung:In previous work (Cristofaro-Gardiner et al. in Invent Math 199:187–214, 2015), the first author and collaborators showed that the leading asymptotics of the embedded contact homology spectrum recovers the contact volume. Our main theorem here is a new bound on the sub-leading asymptotics.
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-020-00594-2