Abstracts

Dušan Đorđević

Frobenius structures and restricted (2+1)-TQFTs

Constructing (2+1) dimensional topological quantum field theories (TQFTs) is generally not an easy task. In this talk, we consider certain subcategories of 3Cob whose objects are collections of tori. Ideally, arrows are generated by (co)multiplication and (co)unit, together with the action of the mapping class group of torus. With the help of the detected Frobenius structure, our goal is to construct TQFTs for such categories. On the way we manage to distinguish some torus bundles that are not distinguished by Reshetikhin-Turaev and Turaev-Viro invariants. This talk is about joint work with Jovana Nikolić, Danica Kosanović, and Zoran Petrić.