TY - JOUR
T1 - Poisson Structures on Smooth 4–Manifolds
AU - García-Naranjo, Luis C.
AU - Suárez-Serrato, Pablo
AU - Vera, Ramón
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.
PY - 2015/11/1
Y1 - 2015/11/1
N2 - We show that every closed oriented smooth 4-manifold admits a complete singular Poisson structure in each homotopy class of maps to the 2-sphere. The rank of this structure is 2 outside a small singularity set, which consists of finitely many circles and isolated points. The Poisson bivector vanishes on the singularities, where we give its local form explicitly.
AB - We show that every closed oriented smooth 4-manifold admits a complete singular Poisson structure in each homotopy class of maps to the 2-sphere. The rank of this structure is 2 outside a small singularity set, which consists of finitely many circles and isolated points. The Poisson bivector vanishes on the singularities, where we give its local form explicitly.
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U2 - 10.1007/s11005-015-0792-8
DO - 10.1007/s11005-015-0792-8
M3 - Article
AN - SCOPUS:84943660316
VL - 105
SP - 1533
EP - 1550
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
SN - 0377-9017
IS - 11
ER -