20 citations · 107 across the 28 of their papers we have counts for
4 papers · 1 filter
Circle action and some vanishing results on manifolds
Ping Li, Kefeng Liu
Kawakubo and Uchida showed that, if a closed oriented -dimensional manifold admits a semi-free circle action such that the dimension of the fixed point set is less than $2k…
Some remarks on circle action on manifolds
Ping Li, Kefeng Liu
This paper contains several results concerning circle action on almost-complex and smooth manifolds. More precisely, we show that, for an almost-complex manifold (resp. a…
The rigidity of Dolbeault-type operators and symplectic circle actions
Ping Li
Following the idea of Lusztig, Atiyah-Hirzebruch and Kosniowski, we note that the Dolbeault-type operators on compact, almost-complex manifolds are rigid. When the circle action ha…
Chern numbers and the indices of some elliptic differential operators
Ping Li
Libgober and Wood proved that the Chern number of a -dimensional compact complex manifold can be determined by its Hirzebruch -genus. Inspired by the idea…