21 citations · 48 across the 8 of their papers we have counts for
8 papers
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…
Parity and Spin CFT with boundaries and defects
Ingo Runkel, Lóránt Szegedy, Gérard M. T. Watts
This paper is a follow-up to [arXiv:2001.05055] in which two-dimensional conformal field theories in the presence of spin structures are studied. In the present paper we define fou…
Fully extended -spin TQFTs
Nils Carqueville, Lóránt Szegedy
We prove the -spin cobordism hypothesis in the setting of (weak) 2-categories for every positive integer : The 2-groupoid of 2-dimensional fully extended -spin TQFTs with…
Topological field theories on open-closed -spin surfaces
Walker H. Stern, Lóránt Szegedy
In this article, we establish a connection between two models for -spin structures on surfaces: the marked PLCW decompositions of Novak and Runkel-Szegedy, and the structured gr…
On invertible 2-dimensional framed and -spin topological field theories
Lóránt Szegedy
We classify invertible 2-dimensional framed and -spin topological field theories by computing the homotopy groups and the -invariant of the corresponding bordism categories.…
Symmetry defects and orbifolds of two-dimensional Yang-Mills theory
Lukas Müller, Richard J. Szabo, Lóránt Szegedy
We describe discrete symmetries of two-dimensional Yang-Mills theory with gauge group associated to outer automorphisms of , and their corresponding defects. We show that th…
Area-dependent quantum field theory with defects
Ingo Runkel, Lóránt Szegedy
Area-dependent quantum field theory is a modification of two-dimensional topological quantum field theory, where one equips each connected component of a bordism with a positive re…
Topological field theory on r-spin surfaces and the Arf invariant
Ingo Runkel, Lóránt Szegedy
We give a combinatorial model for r-spin surfaces with parametrised boundary based on Novak (2015). The r-spin structure is encoded in terms of -valued indices assign…