Algebra/Topology Seminar
Christoph Schweigert (University of Hamburg)
String-net models and invariants for mapping class groups
Given a spherical fusion category, the Turaev-Viro construction provides
a three-dimensional topological field theory and thus a coherent system
of representations of mapping class groups of surfaces. We explain
an alternative construction of these representations based on string-nets.
It can be used to find invariants for the action of the mapping class groups
Given a spherical fusion category, the Turaev-Viro construction provides
a three-dimensional topological field theory and thus a coherent system
of representations of mapping class groups of surfaces. We explain
an alternative construction of these representations based on string-nets.
It can be used to find invariants for the action of the mapping class groups
that describe correlators of bulk fields of conformal field theories.
(Work with Yang Yang)