Chiral anomaly via vertex algebroids
type: Item
instance of: scholarly article
zbMATH Open document ID: 1331.53040
author: Paul Bressler
author: Vyacheslav Futorny
published in: The Quarterly Journal of Mathematics
publication date: 2014-10-10T00:00:00Z
Mathematics Subject Classification ID: 53C08
zbMATH DE Number: 6353651
zbMATH Keywords: Grothendieck-Riemann-Roch formula
zbMATH Keywords: stacks
MaRDI profile type: Publication
OpenAlex ID: W2058211529
DOI: 10.1093/QMATH/HAT036
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title: Chiral anomaly via vertex algebroids
review text: 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.
reviewed by: Julien Grivaux
description: scientific article; zbMATH DE number 6353651