Representations of the homotopy surface category of a simply connected space

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79204We 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 figuresAlgebraic TopologyQuantum AlgebraRepresentations of the homotopy surface category of a simply connected spacetext