Work

Generalized B-Opers

Year: 2020

Type: article

Abstract: Opers were introduced by Beilinson-Drinfeld [arXiv:math.AG/0501398].In [J.Math.Pures Appl.82 (2003), 1-42] a higher rank analog was considered, where the successive quotients of the oper filtration are allowed to have higher rank.We dedicate this paper to introducing and studying generalized B-opers (where "B" stands for "bilinear"), obtained by endowing the underlying vector bundle with a bilinear form which is compatible with both the filtration and the connection.In particular, we study the structure of these Bopers, by considering the relationship of these structures with jet bundles and with geometric structures on a Riemann surface.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2020.041

Authors: Indranil Biswas, Laura P. Schaposnik, Mengxue Yang

Institutions: Tata Institute of Fundamental Research, University of Illinois Chicago

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Alexander von Humboldt-Stiftung, Division of Mathematical Sciences