关于泊松群胚的余迷向双截面

On Coisotropic Bisections of Poisson Groupoids

令（P，α，β）是泊松群胚（Poissongroupoid）．本文首先证明了一个关于中余迷向双截面（coisotropicbisection）的存在性定理．其次证明了，若K是的余迷向双截面，则也是一个泊松群胚，并且与泊松同构．利用这一结果进而可以得到有关余迷向双截面的一些性质和一个双截面是余迷向的充分必要条件．

Let ( P,α，β) be a Poisson groupoid. We prove first a existence theorem forcoisotropic bisections in . Then we prove that is also a Poisson groupoid if K isa coisotropic bisection in . And it is isomorphism with ( P，α，β). Furthermore, using theresults above we obtain some properties and a necessary and sufficient condition of coisotropicbisections.