数学杂志2011,Vol.31Issue(6):967-972,6.
奇数维spinc流形和S1作用
ODD DIMENSIONAL SPINc-MANIFOLDS AND S1 ACTIONS
摘要
Abstract
In this paper,we study the equivariant index theorems for odd dimensional spinc manifolds.By index theorems and some complex analysis discussions,we obtain two Atiyah Hirzebruch type vanishing theorems for odd dimensional spincmanifolds,which generalize Liu and Wang' vanishing theorems.关键词
spinc流形/Toeplitz算子/Atiyah-Hirzebruch消灭定理/反演/S1作用Key words
spincmanifolds/Toeplitz operators/Atiyah-Hirzebruch vanishing theorems/involution/S1 actions分类
数理科学引用本文复制引用
王勇..奇数维spinc流形和S1作用[J].数学杂志,2011,31(6):967-972,6.基金项目
Supported by National Natural Science Foundation of China(10801027). (10801027)