Representations of the homotopy surface category of a simply connected space

M. Brightwell; P. Turner

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arXiv · math/9910026

Representations of the homotopy surface category of a simply connected space

M. Brightwell·P. Turner

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Abstract

We introduce the homotopy surface category of a space which generalizes the 1+1-dimensional cobordism category of circles and surfaces to the situation where one introduces a background space. We explain how for a simply connected background space, monoidal functors from this category to vector spaces can be interpreted in terms of Frobenius algebras with additional structure.

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M. Brightwell, P. Turner. 1999-10-05. Representations of the homotopy surface category of a simply connected space. https://arxiv.org/abs/math/9910026

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