TY - JOUR
T1 - Existence and classification of overtwisted contact structures in all dimensions
AU - Borman, Matthew Strom
AU - Eliashberg, Yakov
AU - Murphy, Emmy
N1 - Publisher Copyright:
© 2016, Institut Mittag-Leffler.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from [12]. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures.
AB - We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from [12]. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures.
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U2 - 10.1007/s11511-016-0134-4
DO - 10.1007/s11511-016-0134-4
M3 - Article
AN - SCOPUS:84957596399
SN - 0001-5962
VL - 215
SP - 281
EP - 361
JO - Acta Mathematica
JF - Acta Mathematica
IS - 2
ER -