Equivariant homology for generating functions and orderability of lens spaces

Sheila Sandon (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

In her PhD thesis [M08] Milin developed a Z k-equivariant version of the contact homology groups constructed in [EKP06] 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 [S11]. As Milin showed, this result implies orderability of lens spaces.

Mots clés: Orderability of contact manifolds; generating functions

Domaines: Mathématiques [math]

Sheila Sandon. Equivariant homology for generating functions and orderability of lens spaces. Journal of Symplectic Geometry, 2011, 9 (2), pp.123-146. ⟨10.4310/JSG.2011.v9.n2.a2⟩. ⟨hal-01317444⟩