108 citations · 721 across the 34 of their papers we have counts for
35 papers
Orbifolds, higher dagger structures, and idempotents
Nils Carqueville, Tim Lüders
The orbifold/condensation completion procedure of defect topological quantum field theories can be seen as carrying out a lattice or state sum model construction internal to an amb…
Topological defects
Nils Carqueville, Michele Del Zotto, Ingo Runkel
This is a survey article for the Encyclopedia of Mathematical Physics, 2nd Edition. Topological defects are described in the context of the 2-dimensional Ising model on the lattice…
Truncated affine Rozansky--Witten models as extended defect TQFTs
Ilka Brunner, Nils Carqueville, Pantelis Fragkos +1
We apply the cobordism hypothesis with singularities to the case of affine Rozansky--Witten models, providing a construction of extended TQFTs that includes all line and surface de…
Orbifolds of topological quantum field theories
Nils Carqueville
The orbifold construction via topological defects in quantum field theory can either be understood as a state sum construction internal to a given ambient theory, or as the procedu…
Orbifold completion of 3-categories
Nils Carqueville, Lukas Müller
We develop a general theory of 3-dimensional ``orbifold completion'', to describe (generalised) orbifolds of topological quantum field theories as well as all their defects. Given…
Invariants of r-spin TQFTs and non-semisimplicity
Nils Carqueville, Ehud Meir, Lorant Szegedy
For a positive integer r, an r-spin topological quantum field theory is a 2-dimensional TQFT with tangential structure given by the r-fold cover of SO_2 . In particular, such a TQF…