中文

关于自乘积哈密顿群的一个例子,I

辛几何 2014-04-03 v2

摘要

我们证明 (S2×S2,ω0λω0)(S^2\times S^2, \omega_0 \oplus \lambda\omega_0)(其中 λ>1\lambda > 1)是辛流形 (X,ω)(X, \omega) 的一个例子,使得 π1Ham(X×X,ωω)\pi_1 Ham(X \times X, \omega\oplus -\omega) 包含比 π1Ham(X,ω)×π1Ham(X,ω)\pi_1 Ham(X, \omega) \times \pi_1 Ham(X, -\omega) 更多的元素。

关键词

引用

@article{arxiv.1403.8141,
  title  = {An example concerning Hamiltonian groups of self product, I},
  author = {Shengda Hu and Francois Lalonde},
  journal= {arXiv preprint arXiv:1403.8141},
  year   = {2014}
}

备注

This is the first of two short articles. They originally form one paper. After submission, it was split into two parts by the request of the Journal. They appeared in African Diaspora Journal of Mathematics