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A comparison of generalized opers and (GP)-opers

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Abstract

The goal of this paper is to describe the relationship between generalized B-opers, generalized \(\mathrm {SO}(2n,{\mathbb {C}})\)-opers and (GP)-opers. In particular, we show that to each generalized B-oper there is a naturally associated (GP)-oper, but there are some (GP)-opers that do not arise as generalized B-opers or \(\mathrm {SO}(2n,{\mathbb {C}})\)-opers.

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References

  1. I. Biswas, “Coupled connections on a compact riemann surface,”(2003) .

  2. I. Biswas, L. P. Schaposnik, and M. Yang, “Generalized B-Opers,” arXiv:1911.11842.

  3. I. Biswas, L. P. Schaposnik, and M. Yang, “On the generalized SO(2n,C)-opers,” arXiv:2005.08446.

  4. B. Collier and A. Sanders, “(G,P)-opers and global Slodowy slices,” arXiv:1911.12844.

  5. W. Fulton and J. Harris, Representation theory. Springer study edition. Springer, New York, NY [u.a.], 2004. Includes bibliographical references and index.

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Correspondence to Mengxue Yang.

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Communicated by Indranil Biswas.

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Yang, M. A comparison of generalized opers and (GP)-opers. Indian J Pure Appl Math 53, 760–773 (2022). https://doi.org/10.1007/s13226-021-00170-0

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  • DOI: https://doi.org/10.1007/s13226-021-00170-0

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