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Journal article

MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I

Abstract

This paper concerns the moduli spaces of rank-two parabolic Higgs bundles and parabolic K(D) pairs over a smooth curve. Precisely which parabolic bundles occur in stable K(D) pairs and stable Higgs bundles is determined. Using Morse theory, the moduli space of parabolic Higgs bundles is shown to be a non-compact, connected, simply connected manifold, and a computation of its Poincaré polynomial is given.

Authors

BODEN HU; YOKOGAWA K

Journal

International Journal of Mathematics, Vol. 7, No. 05, pp. 573–598

Publisher

World Scientific Publishing

Publication Date

October 1, 1996

DOI

10.1142/s0129167x96000311

ISSN

0129-167X
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