An identification of the connections of Quillen and Beilinson-Schechtman |
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Authors: | Yue Lin L Tong I-Hsun Tsai |
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Institution: | (1) Purdue University, 47907 West Lafayette, IN, USA;(2) National Taiwan University, Taipei, Taiwan |
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Abstract: | Given a family of Riemann surfaces and a holomorphic vector bundle Beilinson and Schechtman construct a canonical connection on the associated determinant bundle. We prove the conjecture which states that their connection coincides with the Quillen connection. This is done by reducing to the case where
along fibers are invertible. Both connection forms become more accessible in this case.Supported in part by N.S.F. Grant No. DMS-9201022Supported in part by National Science Council of Republic of China Grant No. NSC 82-0208-M-002-125-T, and NSERC of Canada Grant No. OGP 0121883 |
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