17 citations · 19 across the 5 of their papers we have counts for
5 papers
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 the…
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…
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…
Cut and paste invariants of manifolds via algebraic K-theory
Renee S. Hoekzema, Mona Merling, Laura Murray +2
Recent work of Jonathan Campbell and Inna Zakharevich has focused on building machinery for studying scissors congruence problems via algebraic -theory, and applying these tools…
Homological perspective on edge modes in linear Yang-Mills and Chern-Simons theory
Philippe Mathieu, Laura Murray, Alexander Schenkel +1
We provide an elegant homological construction of the extended phase space for linear Yang-Mills theory on an oriented and time-oriented Lorentzian manifold with a time-like bo…