Exotic tight contact structures on Rn

François Simon Fauteux-Chapleau; Joseph Helfer

doi:10.4310/JSG.250403022531

Exotic tight contact structures on Rⁿ

François Simon Fauteux-Chapleau
, Joseph Helfer

Simons Center for Geometry & Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on R²ⁿ⁻¹ for all n > 2.

Original language	English
Pages (from-to)	227-283
Number of pages	57
Journal	Journal of Symplectic Geometry
Volume	23
Issue number	1
DOIs	https://doi.org/10.4310/JSG.250403022531
State	Published - 2025

Access to Document

10.4310/JSG.250403022531

Cite this

@article{92bc80a22b42431fa1129b38dc178010,

title = "Exotic tight contact structures on Rn",

abstract = "We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on R2n−1 for all n > 2.",

author = "Fauteux-Chapleau, \{Fran{\c c}ois Simon\} and Joseph Helfer",

year = "2025",

doi = "10.4310/JSG.250403022531",

language = "English",

volume = "23",

pages = "227--283",

journal = "Journal of Symplectic Geometry",

issn = "1527-5256",

number = "1",

}

TY - JOUR

T1 - Exotic tight contact structures on Rn

AU - Fauteux-Chapleau, François Simon

AU - Helfer, Joseph

PY - 2025

Y1 - 2025

N2 - We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on R2n−1 for all n > 2.

AB - We introduce a variant of contact homology for convex open contact manifolds. As an application, we prove the existence of (in fact, infinitely many) exotic tight contact structures on R2n−1 for all n > 2.

UR - https://www.scopus.com/pages/publications/105003406877

U2 - 10.4310/JSG.250403022531

DO - 10.4310/JSG.250403022531

M3 - Article

AN - SCOPUS:105003406877

SN - 1527-5256

VL - 23

SP - 227

EP - 283

JO - Journal of Symplectic Geometry

JF - Journal of Symplectic Geometry

IS - 1

ER -

Exotic tight contact structures on Rⁿ

Abstract

Access to Document

Other files and links

Fingerprint

Cite this