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Clifford asymptotics and the local lefschetz index

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Part of the Lecture Notes in Mathematics book series (2803,volume 1411)

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  • Dirac Operator
  • Pseudo Differential Operator
  • Index Theorem
  • Local Index
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References

  1. M. F. Atiyah and R. Bott, “A Lefschetz fixed point formula for elliptic complexes”, I, Ann. of Math. 86 (1967), 374–407; II, 88 (1968), 451–491.

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  2. M. F. Atiyah and G. B. Segal, “The index of elliptic operators, II”, Ann. of Math 87 (1968), 531–545.

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  3. E. Getzler, “A short proof of the local Atiyah-Singer index theorem,” Topology, 25, No. 1 (1986), 111–117.

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  4. 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.

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  5. V. K. Patodi, “Curvature and the eigenforms of the Laplace operator,” J. Diff. Geom. 5 (1971) 233–249.

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  6. Y. L. Yu, “Local index theorem for Dirac operator”, Acta. Math. Sinica, New Series, 3, No. 2 (1987), 152–169.

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  7. 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51932-4

  • Online ISBN: 978-3-540-46862-2

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