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) …

We define two-dimensional extended homotopy quantum field theories (E-HQFTs) with
aspherical targets and classify them. When the target of E-HQFT is chosen to be a K (G, 1) …

A 3-dimensional homotopy quantum field theory (HQFT) can be described as a TQFT for
surfaces and 3-cobordisms endowed with homotopy classes of maps into a given space. For …

Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory
founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study …

Based on a detailed definition of extended homotopy quantum field theories we develop a
field-theoretic orbifold construction for these theories when the target space is the classifying …

G-equivariant modular categories provide the input for a standard method to construct 3d
homotopy field theories. Virelizier constructed a G-equivariant category from the action of a …

Homotopy Quantum Field Theories (HQFTs) generalize more familiar Topological Quantum
Field Theories (TQFTs). In generalization of the surgery construction of 3-dimensional …

We explicitly show that symmetric Frobenius structures on a finite-dimensional, semi-simple
algebra stand in bijection to homotopy fixed points of the trivial SO (2)-action on the …

arXiv:0812.4482v1 [math.QA] 24 Dec 2008 Page 1 arXiv:0812.4482v1 [math.QA] 24 Dec 2008
2-Representations and Equivariant 2D Topological Field Theories D. Shklyarov November 15 …

We apply the idea of a topological quantum field theory (TQFT) to maps from manifolds into
topological spaces. This leads to a notion of a (d+ 1)-dimensional homotopy quantum field …