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Proceedings of the American Mathematical Society

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A $ G$-signature theorem for $ V$-manifolds


Author: Chao Chu Liang
Journal: Proc. Amer. Math. Soc. 75 (1979), 145-148
MSC: Primary 58G10
DOI: https://doi.org/10.1090/S0002-9939-1979-0529231-6
MathSciNet review: 529231
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Abstract: We prove an analogue of the Atiyah-Singer G-signature theorem for an isometry f on a V-manifold.


References [Enhancements On Off] (What's this?)

  • [1] M. F. Atiyah, Elliptic operators and compact groups, Lecture Notes in Math., vol. 401, Springer-Verlag, Berlin-Heidelberg-New York, 1974. MR 0482866 (58:2910)
  • [2] M. F. Atiyah, R. Bott, and V. K. Padoti, On heat equation and index theorem, Invent. Math. 19 (1973), 279-330. MR 0650828 (58:31287)
  • [3] M. F. Atiyah and I. M. Singer, The index of elliptic operators. III, Ann. of Math. (2) 87 (1968), 546-604. MR 0236952 (38:5245)
  • [4] W. L. Baily, The decomposition theorem for V-manifolds, Amer. J. Math. 78 (1956), 862-888. MR 0100103 (20:6537)
  • [5] F. Hirzebruch and D. Zagier, The Atiyah-Singer theorem and elementary number theory, Publish or Perish Inc., Boston, Mass., 1974. MR 0650832 (58:31291)
  • [6] T. Kawasaki, An analytic Lefschetz fixed point formula and its application to V-manifolds: general defect formula and Hirzerbruch signature theorem, Ph.D. Thesis, Johns Hopkins Univ., 1976.
  • [7] T. Kawasaki, The signature theorem for V-manifolds, Topology 17 (1978), 75-83. MR 0474432 (57:14072)
  • [8] I. Satake, On a generalization of the notion of manifold, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 359-365. MR 0079769 (18:144a)
  • [9] -, The Gauss-Bonnet theorem for V-manifolds, J. Math. Soc. Japan 9 (1957), 464-492. MR 0095520 (20:2022)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0529231-6
Keywords: G-signature, V-manifold, elliptic operators
Article copyright: © Copyright 1979 American Mathematical Society

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