3 papers
math.AT2025
Flat principal 2-group bundles and flat string structures
Daniel Berwick-Evans, Emily Cliff, Laura Murray +2
For a weak 2-group, we construct a bicategory of flat 2-group bundles over differentiable stacks as a localization of a functor bicategory. This description is amenable to explicit…
math.AT2025
The Freed--Quinn line bundle from higher geometry
Daniel Berwick-Evans, Emily Cliff, Laura Murray
For a finite group , and level , Freed and Quinn construct a line bundle over the moduli space of -bundles on surfaces. Global sections determine th…
math.AT2025
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…