Effective BatalinVilkovisky quantization and geometric applications
Abstract
We explain the effective renormalization method of quantum field theory in the BatalinVilkovisky 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) CalabiYau geometry and integrable hierarchy. This note is an expansion of author's talk at ICCM 2016.
 Publication:

arXiv eprints
 Pub Date:
 September 2017
 arXiv:
 arXiv:1709.00669
 Bibcode:
 2017arXiv170900669L
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 20 pages, 4 figures. Comments are welcome