Representations of the homotopy surface category of a simply connected space

Details Representations of the homotopy surface category of a simply connected space Representations of the homotopy surface category of a simply connected space

1999-10-05

arxiv.org/abs/math/9910026v1

Mathematics

Algebraic Topology

9 pages, 2 figures

Scientific paper

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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