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Field Theoretical Applications of the Index Theorem

— A Pedagogical Introduction —

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Abstract

The following topics are covered in these lectures:

Introduction to the index theorem, anomalies and index theorems, vector bundles and characteristic classes, special cases and important applications, the family index theorem, determinant bundles and gauge anomalies. An outlook to further applications concludes the article.

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© 1991 Springer-Verlag Berlin Heidelberg

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Römer, H. (1991). Field Theoretical Applications of the Index Theorem. In: Debrus, J., Hirshfeld, A.C. (eds) Geometry and Theoretical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76353-3_8

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  • DOI: https://doi.org/10.1007/978-3-642-76353-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76355-7

  • Online ISBN: 978-3-642-76353-3

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