贝林森和谢赫特曼定理的抛物线类比

Pub Date : 2024-05-02 DOI:10.1093/imrn/rnae085
Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth
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引用次数: 0

摘要

对于一个简单相连的复群 $G$,我们证明了一个明确的公式,可以计算抛物线束的同调线束在抛物线束的模空间上的阿蒂亚类行列式。这概括了贝林森-谢赫特曼(Beilinson-Schechtman)早先的一个结果。
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A Parabolic Analog of a Theorem of Beilinson and Schechtman
For a simple, simply connected, complex group $G$, we prove an explicit formula to compute the Atiyah class of parabolic determinant of cohomology line bundle on the moduli space of parabolic $G$-bundles. This generalizes an earlier result of Beilinson-Schechtman.
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