• Corpus ID: 119645788

Effective Batalin-Vilkovisky quantization and geometric applications

  title={Effective Batalin-Vilkovisky quantization and geometric applications},
  author={Si Li},
  journal={arXiv: Quantum Algebra},
  • Si Li
  • Published 3 September 2017
  • Physics
  • arXiv: Quantum Algebra
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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