AbstractWe use the categories of representations of finite-dimensional quantum groupoids (weak Hopf algebras) to construct ribbon and modular categories that give rise to invariants of knots and 3-manifolds
In this paper we study new invariants $\widehat{Z}_{\boldsymbol{a}}(q)$ attached to plumbed $3$-mani...
We develop the basic representation theory of all quantum groups at all roots of unity (that is, for...
We introduce systems of objects and operators in linear monoidal categories called $\hat{\Psi}$-syst...
AbstractWe construct modular categories from Hecke algebras at roots of unity. For a special choice ...
The general method of Reshetikhin and Turaev is followed to develop topological invariants of closed...
AbstractWe construct modular categories from Hecke algebras at roots of unity. For a special choice ...
AbstractFor a group G, the notion of a ribbon G-category was introduced in Turaev (Homotopy field th...
We use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist n...
Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study ...
Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study ...
We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of ...
Abstract The Reshetikhin-Turaev invariant, Turaev’s TQFT, and many related constructions rely on the...
Abstract The Reshetikhin-Turaev invariant, Turaev’s TQFT, and many related constructions rely on the...
AbstractFor a group G, the notion of a ribbon G-category was introduced in Turaev (Homotopy field th...
By twisted quantum invariants we mean polynomial invariants of knots in the three-sphere endowed wit...
In this paper we study new invariants $\widehat{Z}_{\boldsymbol{a}}(q)$ attached to plumbed $3$-mani...
We develop the basic representation theory of all quantum groups at all roots of unity (that is, for...
We introduce systems of objects and operators in linear monoidal categories called $\hat{\Psi}$-syst...
AbstractWe construct modular categories from Hecke algebras at roots of unity. For a special choice ...
The general method of Reshetikhin and Turaev is followed to develop topological invariants of closed...
AbstractWe construct modular categories from Hecke algebras at roots of unity. For a special choice ...
AbstractFor a group G, the notion of a ribbon G-category was introduced in Turaev (Homotopy field th...
We use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist n...
Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study ...
Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study ...
We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of ...
Abstract The Reshetikhin-Turaev invariant, Turaev’s TQFT, and many related constructions rely on the...
Abstract The Reshetikhin-Turaev invariant, Turaev’s TQFT, and many related constructions rely on the...
AbstractFor a group G, the notion of a ribbon G-category was introduced in Turaev (Homotopy field th...
By twisted quantum invariants we mean polynomial invariants of knots in the three-sphere endowed wit...
In this paper we study new invariants $\widehat{Z}_{\boldsymbol{a}}(q)$ attached to plumbed $3$-mani...
We develop the basic representation theory of all quantum groups at all roots of unity (that is, for...
We introduce systems of objects and operators in linear monoidal categories called $\hat{\Psi}$-syst...