Heriot-Watt Mathematics Report Series
HWM99-23, 18 Oct 1999
Representations of the homotopy surface category of a simply connected space
M Brightwell and P Turner
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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