Representations of the homotopy surface category of a simply connected space

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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.
9 pages, 2 figures

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Algebraic Topology, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/79204

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910026
 http://arxiv.org/abs/math/9910026

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arXiv