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Holomorphic Lefschetz fixed point formula


Author: V. K. Patodi
Journal: Bull. Amer. Math. Soc. 79 (1973), 825-828
MSC (1970): Primary 58G10, 53C65; Secondary 32A99
DOI: https://doi.org/10.1090/S0002-9904-1973-13336-1
MathSciNet review: 0317359
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  • 1. M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I and II, Ann. of Math. (2) 86 (1967), 374-407, 88 (1968), 451-491. MR 35 #3701; 38 # 731. MR 212836
  • 2. M. F. Atiyah and I. M. Singer, The index of elliptic operators. I and III, Ann. of Math. (2) 87 (1968), 484-530; 87 (1968), 546-604. MR 38 # 5243; 38 # 5245. MR 236950
  • 3. T. Kotake, The fixed point theorem of Atiyah-Bott via parabolic operators, Comm. Pure Appl. Math. 22 (1969), 789-806. MR 426062
  • 4. V. K. Patodi, Curvature and the eigenforms of the Laplace operator, J. Differential Geometry 5 (1971), 233-249. MR 292114
  • 5. V. K. Patodi, An analytic proof of Riemann-Roch-Hirzebruch theorem for Kähler manifolds, J. Differential Geometry 5 (1971), 251-283. MR 290318
  • 6. D. Toledo, On the Atiyah-Bott formula for isolated fixed points, J. Differential Geometry (to appear). MR 336766
  • 7. Yue Lin L. Tong, deRham's integrals and Lefschetz fixed point formula for d" cohomology, Bull. Amer. Math. Soc. 78 (1972), 420-422. MR 296355

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DOI: https://doi.org/10.1090/S0002-9904-1973-13336-1

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