Representations of the homotopy surface category of a simply connected space

Mark Brightwell, Paul Turner

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We discuss 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.

Original languageEnglish
Pages (from-to)855-864
Number of pages10
JournalJournal of Knot Theory and its Ramifications
Volume9
Issue number7
Publication statusPublished - Nov 2000

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