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Effective Batalin-Vilkovisky quantization and geometric applications (1709.00669v1)
Published 3 Sep 2017 in math.QA, hep-th, math-ph, and math.MP
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.