The determinant bundle on the moduli space of stable triples over a curve |
| |
Authors: | Indranil Biswas N. RaghaVendra |
| |
Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Mumbai, India;(2) Advanced Technology Centre, Tata Consultancy Services, K.L.K. Estate, Fateh Maidan Road, 500 001 Hyderabad, India |
| |
Abstract: | We construct a holomorphic Hermitian line bundle over the moduli space of stable triples of the form (E1, E2,?), where E1 and E2 are holomorphic vector bundles over a fixed compact Riemann surfaceX, and?: E2 → E1 is a holomorphic vector bundle homomorphism. The curvature of the Chern connection of this holomorphic Hermitian line bundle is computed. The curvature is shown to coincide with a constant scalar multiple of the natural Kähler form on the moduli space. The construction is based on a result of Quillen on the determinant line bundle over the space of Dolbeault operators on a fixed C∞ Hermitian vector bundle over a compact Riemann surface. |
| |
Keywords: | Moduli space stable triples determinant bundle Quillen metric |
本文献已被 SpringerLink 等数据库收录! |
|