Characteristic classes of stable bundles of rank $2$ over an algebraic curve
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- by P. E. Newstead
- Trans. Amer. Math. Soc. 169 (1972), 337-345
- DOI: https://doi.org/10.1090/S0002-9947-1972-0316452-9
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Abstract:
Let $X$ be a complete nonsingular algebraic curve over ${\mathbf {C}}$ and $L$ a line bundle of degree 1 over $X$. It is well known that the isomorphism classes of stable bundles of rank 2 and determinant $L$ over $X$ form a nonsingular projective variety $S(X)$. The Betti numbers of $S(X)$ are also known. In this paper we define certain distinguished cohomology classes of $S(X)$ and prove that these classes generate the rational cohomology ring. We also obtain expressions for the Chern character and Pontrjagin classes of $S(X)$ in terms of these generators.References
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Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 169 (1972), 337-345
- MSC: Primary 14D20; Secondary 14F05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0316452-9
- MathSciNet review: 0316452