Holomorphic Lefschetz fixed point formula
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- by V. K. Patodi PDF
- Bull. Amer. Math. Soc. 79 (1973), 825-828
References
- M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I, Ann. of Math. (2) 86 (1967), 374–407. MR 212836, DOI 10.2307/1970694
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, Ann. of Math. (2) 87 (1968), 484–530. MR 236950, DOI 10.2307/1970715
- Takeshi Kotake, The fixed point theorem of Atiyah-Bott via parabolic operators, Comm. Pure Appl. Math. 22 (1969), 789–806. MR 426062, DOI 10.1002/cpa.3160220604
- V. K. Patodi, Curvature and the eigenforms of the Laplace operator, J. Differential Geometry 5 (1971), 233–249. MR 292114, DOI 10.4310/jdg/1214429791
- V. K. Patodi, An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds, J. Differential Geometry 5 (1971), 251–283. MR 290318, DOI 10.4310/jdg/1214429991
- Domingo Toledo, On the Atiyah-Bott formula for isolated fixed points, J. Differential Geometry 8 (1973), 401–436. MR 336766
- Yue Lin L. Tong, de Rham’s integrals and Lefschetz fixed point formula for $d^{\prime \prime }$cohomology, Bull. Amer. Math. Soc. 78 (1972), 420–422. MR 296355, DOI 10.1090/S0002-9904-1972-12926-4
Additional Information
- 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