HQFTs and Quantum Groups - Gupta, Neha
38,99 €
inkl. MwSt.
Versandkostenfrei*
Versandfertig in über 4 Wochen
  • Broschiertes Buch

The thesis is divided into two parts one for dimension 2 and the other for dimension 3. Part one of the thesis generalizes the de_nition of an n-dimensional HQFT in terms of a monoidal functor from a rigid symmetric monoidal category X_Cobn to any monoidal category A. In particular, 2-dimensional HQFTs with target K(G,1) taking values in A are generated from any Turaev G-crossed system in A and vice-versa. This is the generalization of Turaev's theory into a purely categorical set-up. Part two of the thesis generalizes the concept of a group-coalgebra, Hopf group-coalgebra, crossed Hopf…mehr

Andere Kunden interessierten sich auch für
Produktbeschreibung
The thesis is divided into two parts one for dimension 2 and the other for dimension 3. Part one of the thesis generalizes the de_nition of an n-dimensional HQFT in terms of a monoidal functor from a rigid symmetric monoidal category X_Cobn to any monoidal category A. In particular, 2-dimensional HQFTs with target K(G,1) taking values in A are generated from any Turaev G-crossed system in A and vice-versa. This is the generalization of Turaev's theory into a purely categorical set-up. Part two of the thesis generalizes the concept of a group-coalgebra, Hopf group-coalgebra, crossed Hopf group-coalgebra and quasitriangular Hopf group-coalgebra over a group scheme. Quantum double of a crossed Hopf group-scheme coalgebra is constructed in the a_ne case and conjectured for non-a_ne case. We can construct 3-dimensional HQFTs from modular crossed G-categories. The category of representations of a quantum double of a crossed Hopf group-coalgebra is a ribbon(quasitriangular) crossed group-category. Hence generates 3-dimensional HQFTs under certain conditions if the category becomes modular. However, systematic _nding of modular crossed G-categories is largely open.
Autorenporträt
Neha Gupta is doing M. Tech. (Computer Science and Engineering) from The NorthCap University, Gurugram. She received her MCA degree from YMCA Institute of Engineering, Faridabad in 2007.