A short proof of Rohlin’s theorem for complex surfaces
HTML articles powered by AMS MathViewer
- by Donu Arapura
- Proc. Amer. Math. Soc. 108 (1990), 1143-1144
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002150-1
- PDF | Request permission
Abstract:
We prove that the signature of a two dimensional compact complex spin manifold is divisible by 16.References
- Michael F. Atiyah, Riemann surfaces and spin structures, Ann. Sci. École Norm. Sup. (4) 4 (1971), 47–62. MR 286136, DOI 10.24033/asens.1205
- M. F. Atiyah and F. Hirzebruch, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math. Soc. 65 (1959), 276–281. MR 110106, DOI 10.1090/S0002-9904-1959-10344-X
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. III, Ann. of Math. (2) 87 (1968), 546–604. MR 236952, DOI 10.2307/1970717
- V. A. Rohlin, New results in the theory of four-dimensional manifolds, Doklady Akad. Nauk SSSR (N.S.) 84 (1952), 221–224 (Russian). MR 0052101
- Jean-Pierre Serre, Un théorème de dualité, Comment. Math. Helv. 29 (1955), 9–26 (French). MR 67489, DOI 10.1007/BF02564268
Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 1143-1144
- MSC: Primary 57R20; Secondary 57N13, 57R15
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002150-1
- MathSciNet review: 1002150