Moduli spaces of vector bundles on a curve and opers

DOI10.1007/s12044-023-00738-2zbMath1528.14037arXiv2303.09701MaRDI QIDQ6175458

Vladimir Roubtsov, Indranil Biswas, Jacques Hurtubise

Publication date: 24 July 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.09701

zbMATH Keywords

moduli spaceconnectionstable bundleopers

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Rings of differential operators (associative algebraic aspects) (16S32) Symplectic structures of moduli spaces (53D30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

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• Determinant bundles and Virasoro algebras
• A Riemann theorem for the theta divisors on moduli spaces of stable fibre bundles over a curve
• A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle
• Meromorphic connections, determinant line bundles and the Tyurin parametrization
• Complex Analytic Connections in Fibre Bundles
• Projective structures on a Riemann surface

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