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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 the…
math.AT2024
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…