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Gutt, Jean and Hutchings, Michael (2018). Symplectic capacities from positive S-1-equivariant symplectic homology. Algebr. Geom. Topol., 18 (6). S. 3537 - 3601. COVENTRY: GEOMETRY & TOPOLOGY PUBLICATIONS. ISSN 1472-2739

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Abstract

We use positive S-1-equivariant symplectic homology to define a sequence of symplectic capacities c(k) for star-shaped domains in R-2n. These capacities are conjecturally equal to the Ekeland-Hofer capacities, but they satisfy axioms which allow them to be computed in many more examples. In particular, we give combinatorial formulas for the capacities c(k) of any convex toric domain or concave toric domain. As an application, we determine optimal symplectic embeddings of a cube into any convex or concave toric domain We also extend the capacities c(k) to functions of Lionville domains which are almost but not quite symplectic capacities.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gutt, Jean UNSPECIFIED UNSPECIFIED UNSPECIFIED Hutchings, Michael UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-199950
DOI:	10.2140/agt.2018.18.3537
Journal or Publication Title:	Algebr. Geom. Topol.
Volume:	18
Number:	6
Page Range:	S. 3537 - 3601
Date:	2018
Publisher:	GEOMETRY & TOPOLOGY PUBLICATIONS
Place of Publication:	COVENTRY
ISSN:	1472-2739
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EMBEDDINGS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19995