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奇数维spinc流形和S1作用

王勇

数学杂志2011,Vol.31Issue(6):967-972,6.
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

王勇1

作者信息

  • 1. 东北师范大学数学与统计学院,吉林长春 130024
  • 折叠

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)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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