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Science in China Series A: Mathematics

, Volume 43, Issue 5, pp 470–480 | Cite as

A super-twisted Dirac operator and Novikov inequalities

  • Huitao Feng
  • Enli Guo
Article

Abstract

A super-twisted Dirac operator is constructed and deformed suitably. Following Shubin’s approach to Novikov inequalities associated to the deformed de Rham-Hodge operator, we give a for mula for the index of the super-twisted Dirac operator, and Novikov type inequalities for the deformed operator. In particular, we obtain a purely analytic proof of the Hopf index theorem for general vector bundles.

Keywords

super-twisted Dirac operator Hopf index theorem Novikov inequalities 

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Copyright information

© Science in China Press 2000

Authors and Affiliations

  1. 1.Nankai Institute of MathematicsNankai UniversityTianjinChina

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