扭化的Atiyah-Singer算子(Ⅱ)(英文)

The Twisted Atiyah Singer Operators (II)

英文关键词:almost complex manifold  Dolbeault operator  twisted Atiyah  Singer operator  index theorem.

中文摘要:

      本文证明了从Ｄｏｌｂｅａｕｌｔ算子可以得出一个扭化的Ａｔｉｙａｈ－Ｓｉｎｇｅｒ算子，它与原来的算子具有相同的主象征．特别地，辛流形上的Ｄｏｌｂｅａｕｌｔ算子是一个扭化的Ａｔｉｙａｈ－Ｓｉｎｇｅｒ算子．

英文摘要:

      In this paper we show that from the Dolbeault operator we can get a twisted Atiyah-Singer operator with the same leading symbols. Inparticular, the Dolbeault operator on a symplectic manifold is a twisted Atiyan-Singer operator.