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A super-twisted Dirac operator and Novikov inequalities

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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.

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Authors and Affiliations

  1. Nankai Institute of Mathematics, Nankai University, 300071, Tianjin, China

    Huitao Feng & Enli Guo

Authors
  1. Huitao Feng
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  2. Enli Guo
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Correspondence to Huitao Feng.

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Feng, H., Guo, E. A super-twisted Dirac operator and Novikov inequalities. Sci. China Ser. A-Math. 43, 470–480 (2000). https://doi.org/10.1007/BF02897139

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  • DOI: https://doi.org/10.1007/BF02897139

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