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arXiv · 2502.03175

A construction of vertex algebra bundles on logarithmic smooth curves

Xi-Chuan Tan
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Abstract

We present a construction of vertex algebra bundles and spaces of conformal blocks over families of logarithmic smooth curves. This work generalizes some earlier results by Frenkel and Ben-Zvi on vertex algebra bundles over complex smooth algebraic curves. We establish a weaker version of the propagation of vacua, and compute the space of conformal blocks over a typical example of a nodal curve.

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Xi-Chuan Tan. 2025-02-05. A construction of vertex algebra bundles on logarithmic smooth curves. https://arxiv.org/abs/2502.03175

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