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arXiv · 1709.00669

Effective Batalin-Vilkovisky quantization and geometric applications

Si Li
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Abstract

We explain the effective renormalization method of quantum field theory in the Batalin-Vilkovisky formalism and illustrate its mathematical applications by three geometric examples: (1) Topological quantum mechanics and algebraic index, (2) Elliptic curve and higher genus mirror symmetry, (3) Calabi-Yau geometry and integrable hierarchy. This note is an expansion of author's talk at ICCM 2016.

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Si Li. 2017-09-03. Effective Batalin-Vilkovisky quantization and geometric applications. https://arxiv.org/abs/1709.00669

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