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arXiv · 1404.2899

Harmonic Maps and the Symplectic Category

Patrick Vaclav Nabelek·Douglas Pickrell
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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.

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Patrick Vaclav Nabelek, Douglas Pickrell. 2014-04-10. Harmonic Maps and the Symplectic Category. https://arxiv.org/abs/1404.2899

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