Harmonic Maps and the Symplectic Category
Symplectic Geometry
2014-04-11 v1
Abstract
In the context of the two dimensional sigma model, we show that classical field theory naturally defines a functor from Segal's category of Riemann surfaces to the Guillemin-Sternberg/Weinstein category of canonical relations in symplectic geometry, following ideas of Cattaneo, Mnev, and Reshetikhin. This is an expository article, based on a research tutorial.
Cite
@article{arxiv.1404.2899,
title = {Harmonic Maps and the Symplectic Category},
author = {Patrick Vaclav Nabelek and Douglas Pickrell},
journal= {arXiv preprint arXiv:1404.2899},
year = {2014}
}
Comments
10 pages