Two-Dimensional Extended Homotopy Field Theories

Sozer, Kursat

Document type :

Article dans une revue scientifique: Article original

DOI :

10.2140/agt.2023.23.3909

Title :

Two-Dimensional Extended Homotopy Field Theories

Author(s) :

Sozer, Kursat [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Algebr.Geom.Topol.

Pages :

3909-3996

Publication date :

2023

English keyword(s) :

HQFTs
extended TQFTs

HAL domain(s) :

Physique [physics]/Physique mathématique [math-ph]

English abstract : [en]

We give another definition of two-dimensional extended homotopy field theories (E-HFTs) with aspherical targets and classify them. When the target of E-HFT is chosen to be a $K(G,1)$-space, we classify E-HFTs taking values ...
Show more >We give another definition of two-dimensional extended homotopy field theories (E-HFTs) with aspherical targets and classify them. When the target of E-HFT is chosen to be a $K(G,1)$-space, we classify E-HFTs taking values in the symmetric monoidal bicategory of algebras, bimodules, and bimodule maps by certain Frobenius $G$-algebras called quasi-biangular $G$-algebras. As an application, for any discrete group $G$, we verify a special case of the $(G \times SO(2))$-structured cobordism hypothesis due to Lurie.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

1909.04187
Open access
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