BISWAS, INDRANIL ; Hogadi, Amit (2016) Unitary representations of the fundamental group of orbifolds Proceedings - Mathematical Sciences, 126 (4). pp. 557-575. ISSN 0253-4142
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Official URL: https://doi.org/10.1007/s12044-016-0299-y
Related URL: http://dx.doi.org/10.1007/s12044-016-0299-y
Abstract
Let X be a smooth complex projective variety of dimension n and L an ample line bundle on it. There is a well known bijective correspondence between the isomorphism classes of polystable vector bundles E on X with c1 (E) = 0 = c2 (E) . c1 (L) n-2 and the equivalence classes of unitary representations of π 1 (X). We show that this bijective correspondence extends to smooth orbifolds.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Orbifolds; Polystable vector bundle; Fundamental group; Unitary representation. |
| ID Code: | 141824 |
| Deposited On: | 27 Dec 2025 12:02 |
| Last Modified: | 27 Dec 2025 12:02 |
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