Talk page
Title:
Symmetry defects and equivariant completion
Speaker:
Abstract:
(Generalised) orbifolds of 2d topological quantum field theories can be described by covering worldsheets of the unorbifolded theory by a network of appropriate defects A. I shall review how independence of the choice of this triangulation (i.e. invariance under Pachner moves) is equivalent to the structure of a symmetric separable Frobenius algebra on A, and discuss some of the merits of this algebraic approach. Secondly, I will explore what happens if one drops the symmetry condition on A and find interesting relations to Hochschild homology and cohomology as well as nontrvial Serre functors in the the associated D-brane categories. (Based on work with I. Brunner, D. Murfet, D. Plencner and I. Runkel.)
Link:
Workshop: