scholarly journals Flux homomorphism on symplectic groupoids

1997 ◽  
Vol 226 (4) ◽  
pp. 575-597 ◽  
Author(s):  
Ping Xu
Keyword(s):  
Symplectic Groupoids ◽  
Flux Homomorphism

scholarly journals DOUBLE BRUHAT CELLS AND SYMPLECTIC GROUPOIDS

2017 ◽  
Vol 23 (3) ◽  
pp. 765-800 ◽  
Author(s):  
JIANG-HUA LU ◽  
VICTOR MOUQUIN
Keyword(s):  
Bruhat Cells ◽  
Symplectic Groupoids

scholarly journals Poly-Poisson sigma models and their relational poly-symplectic groupoids

2018 ◽  
Vol 59 (7) ◽  
pp. 072901
Author(s):  
Ivan Contreras ◽  
Nicolas Martinez Alba
Keyword(s):  
Sigma Models ◽  
Symplectic Groupoids

scholarly journals Symplectic groupoids and discrete constrained Lagrangian mechanics

2015 ◽  
Vol 35 (1) ◽  
pp. 367-397 ◽  
Author(s):  
Juan Carlos Marrero ◽  
◽  
David Martín de Diego ◽  
Ari Stern ◽  
◽  
...  
Keyword(s):  
Lagrangian Mechanics ◽  
Symplectic Groupoids

scholarly journals Symplectic Groupoids of Log Symplectic Manifolds

2013 ◽  
Vol 2014 (11) ◽  
pp. 3022-3074 ◽  
Author(s):  
Marco Gualtieri ◽  
Songhao Li
Keyword(s):  
Symplectic Manifolds ◽  
Symplectic Groupoids

scholarly journals The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry

2017 ◽  
Vol 4 (1) ◽  
pp. 183-199 ◽  
Author(s):  
Andrea Seppi
Keyword(s):  
Negative Curvature ◽  
Three Dimensional ◽  
De Sitter Space ◽  
Spacelike Surface ◽  
De Sitter ◽  
Algebraic Construction ◽  
Hyperbolic Metrics ◽  
Genus 2 ◽  
Flux Homomorphism ◽  
Closed Oriented Surface

Abstract Given a smooth spacelike surface ∑ of negative curvature in Anti-de Sitter space of dimension 3, invariant by a representation p: π1 (S) → PSL2ℝ x PSL2ℝ where S is a closed oriented surface of genus ≥ 2, a canonical construction associates to ∑ a diffeomorphism φ∑ of S. It turns out that φ∑ is a symplectomorphism for the area forms of the two hyperbolic metrics h and h' on S induced by the action of p on ℍ2 x ℍ2. Using an algebraic construction related to the flux homomorphism, we give a new proof of the fact that φ∑ is the composition of a Hamiltonian symplectomorphism of (S, h) and the unique minimal Lagrangian diffeomorphism from (S, h) to (S, h’).

Sign in / Sign up

Export Citation Format

Share Document