Abstract
With the Atiyah-Singer Index Formula, we proved “one of the deepest and hardest results of mathematics” which “is probably enmeshed more widely with topology and analysis than any other single result” [Hirzebruch-Zagier 1974, VIII]. In this book, we are mainly interested in the varied sources and parts which flow together or are put together in the Index Formula. But the formula itself is of great interest also. It can express important and far-reaching ideas in various areas of application, through numerous corollaries, specializations, reformulations and generalizations.
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© 1985 Springer-Verlag New York Inc.
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Booss, B., Bleecker, D.D. (1985). Applications (Survey). In: Topology and Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0627-6_21
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DOI: https://doi.org/10.1007/978-1-4684-0627-6_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96112-5
Online ISBN: 978-1-4684-0627-6
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