Geodesic
Two-dimensional extended homotopy field theories
Sözer, Kürşat1
1 Le laboratoire de mathématiques Paul Painlevé, Université de Lille, Lille, France
Algebraic and Geometric Topology, Tome 23 (2023) no. 9, pp. 3909-3996

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We give another definition of 2–dimensional extended homotopy field theories (EHFTs) with aspherical targets and classify them. When the target of EHFT is chosen to be a K(G,1)–space, we classify EHFTs taking values in the symmetric monoidal bicategory of algebras, bimodules, and bimodule maps by certain Frobenius G–algebras called quasibiangular G–algebras. As an application, for any discrete group G, we verify a special case of the (G×SO ⁡ (2))–structured cobordism hypothesis due to Lurie.

DOI : 10.2140/agt.2023.23.3909
Classification : 57R56
Keywords: HQFTs, extended TQFTs

Sözer, Kürşat 1

1 Le laboratoire de mathématiques Paul Painlevé, Université de Lille, Lille, France 
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Sözer, Kürşat. Two-dimensional extended homotopy field theories. Algebraic and Geometric Topology, Tome 23 (2023) no. 9, pp. 3909-3996. doi: 10.2140/agt.2023.23.3909

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