An Elliptic Path Fibration and Holomorphic Morita Equivalence

Ahmmadreza Khazaeipoul

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arXiv · 2610.33793

An Elliptic Path Fibration and Holomorphic Morita Equivalence

Ahmmadreza Khazaeipoul

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Abstract

We construct an elliptic analogue of the Alekseev-Meinrenken path fibration \cite{alekseev2009atiyah} for a simply connected complex Lie group with a nondegenerate invariant symmetric bilinear form. A natural $2$-form on the correspondence space induces a holomorphic symplectic groupoid over the space of $(0,1)$-connections and a holomorphic quasi-symplectic groupoid over the holomorphic loop group. The correspondence space defines a principal holomorphic Morita bibundle with compatible differential forms.

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Ahmmadreza Khazaeipoul. 2026-10-24. An Elliptic Path Fibration and Holomorphic Morita Equivalence. https://arxiv.org/abs/2610.33793

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