symplectic groupoid
Recently Published Documents


TOTAL DOCUMENTS

14
(FIVE YEARS 0)

H-INDEX

6
(FIVE YEARS 0)

2018 ◽  
Vol 124 ◽  
pp. 311-324
Author(s):  
Hao Ding
Keyword(s):  


2017 ◽  
Vol 107 (9) ◽  
pp. 1649-1688 ◽  
Author(s):  
Alberto S. Cattaneo ◽  
Nima Moshayedi ◽  
Konstantin Wernli


2016 ◽  
Vol 27 (09) ◽  
pp. 1650075
Author(s):  
Tomasz Rybicki

An analogue of the Hofer metric [Formula: see text] on the Hamiltonian group [Formula: see text] of a Poisson manifold [Formula: see text] can be defined, but there is the problem of its nondegeneracy. First, we observe that [Formula: see text] is a genuine metric on [Formula: see text], when the union of all proper leaves of the corresponding symplectic foliation is dense. Next, we deal with the important class of integrable Poisson manifolds. Recall that a Poisson manifold is called integrable, if it can be realized as the space of units of a symplectic groupoid. Our main result states that [Formula: see text] is a Hofer type metric for every Poisson manifold, which admits a Hausdorff integration.



2012 ◽  
Author(s):  
Francesco Bonechi ◽  
Nicola Ciccoli ◽  
Marco Tarlini
Keyword(s):  


2012 ◽  
Vol 62 (8) ◽  
pp. 1851-1865 ◽  
Author(s):  
F. Bonechi ◽  
N. Ciccoli ◽  
N. Staffolani ◽  
M. Tarlini
Keyword(s):  


2011 ◽  
Vol 97 (3) ◽  
pp. 279-301
Author(s):  
Alexander Karabegov


2010 ◽  
Vol 2010 ◽  
pp. 1-36
Author(s):  
Alberto S. Cattaneo ◽  
Benoit Dherin ◽  
Giovanni Felder

Given a symplectic manifoldM, we may define an operad structure on the the spacesOkof the Lagrangian submanifolds of(M¯)k×Mvia symplectic reduction. IfMis also a symplectic groupoid, then its multiplication space is an associative product in this operad. Following this idea, we provide a deformation theory for symplectic groupoids analog to the deformation theory of algebras. It turns out that the semiclassical part of Kontsevich's deformation ofC∞(ℝd) is a deformation of the trivial symplectic groupoid structure ofT∗ℝd.



2005 ◽  
Vol 258 (1) ◽  
pp. 223-256 ◽  
Author(s):  
Alexander V. Karabegov


2004 ◽  
Vol 253 (3) ◽  
pp. 645-674 ◽  
Author(s):  
Alberto S. Cattaneo ◽  
Benoit Dherin ◽  
Giovanni Felder
Keyword(s):  




Sign in / Sign up

Export Citation Format

Share Document