On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model
Alberto S. Cattaneo, Giovanni Felder
TL;DR
This paper discusses how Kontsevich's local star product formula and the perturbative Poisson sigma model can be extended globally, providing practical insights into their broader mathematical and physical applications.
Contribution
It offers a concrete approach to globalizing Kontsevich's star product and the perturbative Poisson sigma model, bridging local formulas with global structures.
Findings
Globalization method for Kontsevich's star product
Extension of Poisson sigma model to global settings
Practical framework for mathematical physics applications
Abstract
The globalization of Kontsevich's local formula (resp., the perturbative expansion of the Poisson sigma model) is described in down-to-earth terms.
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