Abstract
We show that the index of any elliptic operator on any closed Riemann surface or even-dimensional sphere is completely determined by the pasting of trivial pieces of the operator. Our example gives a full analysis of the index on S 2 and determines the index of the generalized Riemann-Hilbert problem.
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© 1993 Springer Science+Business Media New York
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Booß-Bavnbek, B., Wojciechowski, K.P. (1993). Dirac Operators on the Two-Sphere. In: Elliptic Boundary Problems for Dirac Operators. Mathematics: Theory & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0337-7_26
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DOI: https://doi.org/10.1007/978-1-4612-0337-7_26
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6713-3
Online ISBN: 978-1-4612-0337-7
eBook Packages: Springer Book Archive