On holomorphic graded manifolds
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- by Paul Green PDF
- Proc. Amer. Math. Soc. 85 (1982), 587-590 Request permission
Abstract:
Kostant’s definition of a ${C^\infty }$-graded manifold is adapted to the holomorphic category. It is shown that, in contrast to the ${C^\infty }$ case, there exist holomorphic graded manifolds with structure sheaf not isomorphic to the sheaf of sections of a bundle of exterior algebras.References
- Marjorie Batchelor, The structure of supermanifolds, Trans. Amer. Math. Soc. 253 (1979), 329–338. MR 536951, DOI 10.1090/S0002-9947-1979-0536951-0
- Bertram Kostant, Graded manifolds, graded Lie theory, and prequantization, Differential geometrical methods in mathematical physics (Proc. Sympos., Univ. Bonn, Bonn, 1975) Lecture Notes in Math., Vol. 570, Springer, Berlin, 1977, pp. 177–306. MR 0580292
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 587-590
- MSC: Primary 32C10; Secondary 58A99
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660609-6
- MathSciNet review: 660609