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June 2011 Equivariant homology for generating functions and orderability of lens spaces
Sheila Sandon
J. Symplectic Geom. 9(2): 123-146 (June 2011).

Abstract

In her PhD thesis, Milin developed a $Z_k$-equivariant version of the contact homology groups constructed in Geometry of contact transformations and domains: orderability vs squeezing, "Geom. Topol." 10 (2006), 1635–1747 and used it to prove a $Z_k$-equivariant contact non-squeezing theorem. In this article, we re-obtain the same result in the setting of generating functions, starting from the homology groups studied in Contact homology, capacity and non-squeezing in $R^2n × S^1$ via generating functions, "Ann. Inst. Fourier (Grenoble)" 61 (2011), 145–185. As Milin showed, this result implies orderability of lens spaces.

Citation

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Sheila Sandon. "Equivariant homology for generating functions and orderability of lens spaces." J. Symplectic Geom. 9 (2) 123 - 146, June 2011.

Information

Published: June 2011
First available in Project Euclid: 1 July 2011

zbMATH: 1231.53067
MathSciNet: MR2811649

Rights: Copyright © 2011 International Press of Boston

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Vol.9 • No. 2 • June 2011
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