Abstract
By combining the Atiyah-Patodi-Singer index formula with our theory of boundary integrals we obtain explicit formulas for all boundary problems in the infinite-dimensional Grassmannian and a non-additivity theorem for the index of Atiyah-Patodi- Singer boundary problems under pasting. We introduce an alternative adiabatic Atiyah-Patodi-Singer boundary problem which returns the signature as its true index.
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© 1993 Springer Science+Business Media New York
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Booß-Bavnbek, B., Wojciechowski, K.P. (1993). Some Remarks on the Index of Generalized Atiyah-Patodi-Singer Problems. In: Elliptic Boundary Problems for Dirac Operators. Mathematics: Theory & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0337-7_23
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DOI: https://doi.org/10.1007/978-1-4612-0337-7_23
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6713-3
Online ISBN: 978-1-4612-0337-7
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