Yozgat Bozok University General Seminars

Semifree Hamiltonian Circle Actions on 6-dimensional Symplectic Manifolds with Non-isolated Fixed Point Set
Mücahit Meral
Yozgat Bozok Üniversitesi, Turkey
Özet : Let $(M^{2n},w)$ be a 2n-dimensional closed symplectic manifold with a symplectic circle action. Many mathematicians tried to find some conditions on M which make a symplectic circle action Hamiltonian. Cho, Hwang and Suh discovered a condition on the 6-dimeonsional symplectic manifolds. In this talk, we will discuss CHS’s theorem: Let $(M, w)$ be a 6-dimensional closed symplectic $S^1$-manifold with generalized moment map $\mu : M \to S^1$. Assume that the fixed point set is not empty and dimension of each component at most is 2. Then the action is Hamiltonian if and only if $b^{+}_{2}(M_{\zeta})=1$ for any regular value $\zeta$ of $\mu$.
  Tarih : 17.10.2018
  Saat : 15.30
  Yer : Yozgat Bozok Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 403 numaralı sınıf. YOZGAT
  Dil : Turkish
  Web : https://fef.bozok.edu.tr/tr/matematik/Etkinlikler