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arXiv · 1503.02465

On the structure of unoriented topological conformal field theories

Ramses Fernandez-Valencia
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Abstract

We give a classification of open Klein topological conformal field theories in terms of Calabi-Yau $A_\infty$-categories endowed with an involution. Given an open Klein topological conformal field theory, there is a universal open-closed extension whose closed part is the involutive variant of the Hochschild chains of the open part.

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Ramses Fernandez-Valencia. 2015-03-09. On the structure of unoriented topological conformal field theories. https://arxiv.org/abs/1503.02465

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