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The Atyiah Singer Index Theorem

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The Universal Coefficient Theorem and Quantum Field Theory

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Abstract

Another important theorem relating topology and algebra is the Atyiah-Singer index theorem [1]. Some fundamental notions of differential geometry and topology will be required and therefore I will introduce them here.

If I had a world of my own, everything would be nonsense. Nothing would be what it is, because everything would be what it isn’t. And contrary wise, what is, it wouldn’t be. And what it wouldn’t be, it would. You see?

Lewis Carroll, Alice in Wonderland

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Authors and Affiliations

  1. Department of Physics and Astronomy, University College London, London, UK

    Andrei-Tudor Patrascu

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  1. Andrei-Tudor Patrascu
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Correspondence to Andrei-Tudor Patrascu .

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Patrascu, AT. (2017). The Atyiah Singer Index Theorem. In: The Universal Coefficient Theorem and Quantum Field Theory. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-46143-4_6

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