Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Sozer, Kursat"'
Autor:
Sozer, Kursat, Virelizier, Alexis
This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We give an overview of 3-dimensional topological quantum field theories (TQFTs) and the corresponding quantum invariants of 3-manifolds. We recall the mai
Externí odkaz:
http://arxiv.org/abs/2401.10587
Autor:
Sozer, Kursat, Virelizier, Alexis
Given a crossed module $\chi$, we introduce Hopf $\chi$-(co)algebras which generalize Hopf algebras and Hopf group-(co)algebras. We interpret them as Hopf algebras in some symmetric monoidal category. We prove that their categories of representations
Externí odkaz:
http://arxiv.org/abs/2305.15485
Autor:
Sozer, Kursat, Virelizier, Alexis
Given a crossed module $\chi$, we introduce $\chi$-graded monoidal categories and $\chi$-fusion categories. We use spherical $\chi$-fusion categories to construct (via the state sum method) 3-dimensional Homotopy Quantum Field Theories with target th
Externí odkaz:
http://arxiv.org/abs/2207.06534
Autor:
Sozer, Kursat
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 b
Externí odkaz:
http://arxiv.org/abs/1909.04187
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.