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Tautological Algebra of the Moduli Space of Semistable Bundles on an Elliptic Curve

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Abstract

In this paper, our aim is to find the relations amongst the cohomology classes of Brill-Noether subvarieties of the moduli space of semistable bundles over an elliptic curve. We obtain results similar to the Poincare relations on a Jacobian variety.

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Acknowledgement

I would like to express my sincere gratitude to Prof. Jaya N. N. Iyer for introducing this problem to me and for her valuable suggestions. I would like to thank Dr. Archana S Morye and Dr. Tathagata Sengupta for their continuous guidance and encouragements throughout the work. I would also like to thank University Grants Commission (UGC) (ID — 424860) for financial support.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Hyderabad, Prof. C. R. Rao Road, P.O — Central University, Gachibowli, Hyderabad, 500 046, India

    Arijit Mukherjee

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  1. Arijit Mukherjee
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Correspondence to Arijit Mukherjee.

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Mukherjee, A. Tautological Algebra of the Moduli Space of Semistable Bundles on an Elliptic Curve. Indian J Pure Appl Math 51, 1651–1659 (2020). https://doi.org/10.1007/s13226-020-0487-4

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  • DOI: https://doi.org/10.1007/s13226-020-0487-4

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