Keywords
- Dirac Operator
- Pseudo Differential Operator
- Index Theorem
- Local Index
- Spin Bundle
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References
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M. F. Atiyah and G. B. Segal, “The index of elliptic operators, II”, Ann. of Math 87 (1968), 531–545.
E. Getzler, “A short proof of the local Atiyah-Singer index theorem,” Topology, 25, No. 1 (1986), 111–117.
J. D. Lafferty, Y. L. Yu, and W. P. Zhang, “A direct geometric proof of the Lefschetz fixed point formulas,” Nankai Institute of Mathematics preprint.
V. K. Patodi, “Curvature and the eigenforms of the Laplace operator,” J. Diff. Geom. 5 (1971) 233–249.
Y. L. Yu, “Local index theorem for Dirac operator”, Acta. Math. Sinica, New Series, 3, No. 2 (1987), 152–169.
W. P. Zhang, “The local Atiyah-Singer index theorem for families of Dirac operators,” to appear, Springer Lecture Notes in Mathematics.
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© 1989 Springer-Verlag
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Lafferty, J.D., Yu, Y., Zhang, W. (1989). Clifford asymptotics and the local lefschetz index. In: Jiang, B. (eds) Topological Fixed Point Theory and Applications. Lecture Notes in Mathematics, vol 1411. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086448
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DOI: https://doi.org/10.1007/BFb0086448
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Print ISBN: 978-3-540-51932-4
Online ISBN: 978-3-540-46862-2
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