Chiral anomaly via vertex algebroids (Q2922438)
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scientific article; zbMATH DE number 6353651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chiral anomaly via vertex algebroids |
scientific article; zbMATH DE number 6353651 |
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10 October 2014
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Grothendieck-Riemann-Roch formula
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stacks
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0.9125216
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0.9047595
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0.9017596
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0.9001739
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0.8975942
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Chiral anomaly via vertex algebroids (English)
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Let \(q : X \rightarrow S\) be a principal \(\mathrm{U}(1)\)-bundle over some manifold \(S\), and let \(\mathcal{E}\) be a complex vector bundle on \(X\). There is an associated Grothendieck-Riemann-Roch formula due to \textit{P. Bressler} et al. [Prog. Math. 269, 125--164 (2009; Zbl 1230.14010)] which is NEWLINE\[NEWLINE \mathrm{c}_1(q_* \mathcal{E})=\int_{X/S} \mathrm{ch}_2(\mathcal{E}). NEWLINE\]NEWLINE In the present paper, the authors refine this equality at the level of stacks.
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